Publications of David R. Morrison

Last update: 06 January 2008. Includes links to electronic versions where available. 
     Books, Mathematics Articles, Physics Articles

Books

  1. (co-editor, with R. Friedman), The birational geometry of degenerations, Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983.
  2. (co-editor, with J. A. Carlson and C. H. Clemens), Complex geometry and Lie theory, Proc. Symp. Pure Math., vol. 53, American Mathematical Society, Providence, 1991.
  3. (co-editor, with J. Kollár and R. Lazarsfeld), Algebraic geometry -- Santa Cruz 1995, Proc. Symp. Pure Math., vol. 62, American Mathematical Society, Providence, 1997.
  4. (co-editor, with P. Deligne, P. Etingof, D. S. Freed, L. Jeffrey, D. Kazhdan, J. Morgan and E. Witten), Quantum fields and strings: A course for mathematicians, American Mathematical Society, Providence, 1999, two volumes.
  5. (co-editor, with C. H. Clemens), Selected works of Phillip A. Griffiths with commentary: Variations of Hodge structures, American Mathematical Society and International Press, Providence, 2003.
  6. (co-editor, with R. L. Bryant), Selected works of Phillip A. Griffiths with commentary: Differential systems, American Mathematical Society and International Press, Providence, 2003.
  7. (co-editor, with D. S. Freed and I. Singer), Quantum field theory, supersymmetry, and enumerative geometry, IAS/Park City Mathematics Series, vol. 11, American Mathematical Society, Providence, 2006.

Mathematics Articles

  1. A Stolarsky array of Wythoff pairs, A Collection of Manuscripts Related to the Fibonacci Sequence (V. E. Hoggatt Jr. and M. Bicknell-Johnson, eds.), The Fibonacci Association, Santa Clara, 1980, pp. 134-136.
  2. Semistable degenerations of Enriques' and hyperelliptic surfaces, Duke Math. J. 48 (1981) 197-249.
  3. (with R. Friedman), The birational geometry of degenerations: An overview, The Birational Geometry of Degenerations (R. Friedman and D. R. Morrison, eds.), Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 1-32.
  4. (with R. Miranda), The minus one theorem, The Birational Geometry of Degenerations (R. Friedman and D. R. Morrison, eds.), Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 173-259.
  5. (with B. Crauder), Triple-point-free degenerations of surfaces with Kodaira number zero, The Birational Geometry of Degenerations (R. Friedman and D. R. Morrison, eds.), Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 353-386.
  6. Some remarks on the moduli of K3 surfaces, Classification of Algebraic and Analytic Manifolds (K. Ueno, ed.), Progress in Math., vol. 39, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 303-332.
  7. (with G. Stevens), Terminal quotient singularities in dimensions three and four, Proc. Amer. Math. Soc. 90 (1984) 15-20.
  8. On K3 surfaces with large Picard number, Invent. Math. 75 (1984) 105-121.
  9. The Clemens--Schmid exact sequence and applications, Topics in Transcendental Algebraic Geometry (P. Griffiths, ed.), Annals of Math. Studies, vol. 106, Princeton University Press, Princeton, 1984, pp. 101-119.
  10. Algebraic cycles on products of surfaces, Proc. Algebraic Geometry Symposium, Tôhoku University, 1984, pp. 194-210.
  11. The Kuga--Satake variety of an abelian surface, J. Algebra 92 (1985) 454-476.
  12. Canonical quotient singularities in dimension three, Proc. Amer. Math. Soc. 93 (1985) 393-396.
  13. The birational geometry of surfaces with rational double points, Math. Ann. 271 (1985) 415-438, erratum.
  14. (with R. Miranda), The number of embeddings of integral quadratic forms, I, Proc. Japan Acad. Ser. A Math. Sci. 61 (1985) 317-320.
  15. (with R. Miranda), The number of embeddings of integral quadratic forms, II, Proc. Japan Acad. Ser. A Math. Sci. 62 (1986) 29-32.
  16. A remark on Kawamata's paper `On the plurigenera of minimal algebraic 3-folds with $K \mathrel\hbox\raise.5ex\rlap$\sim$\lower.5ex\rlap$\sim$$\sim$ 0$', Math. Ann. 275 (1986) 547-553.
  17. (with M.-H. Saito), Cremona transformations and degrees of period maps for K3 surfaces with ordinary double points, Algebraic Geometry, Sendai 1985 (T. Oda, ed.), Adv. Studies in Pure Math., vol. 10, North-Holland, Amsterdam, New York, Oxford, and Kinokuniya, Tokyo, 1987, pp. 477-513.
  18. Isogenies between algebraic surfaces with geometric genus one, Tokyo J. Math. 10 (1987) 179-187.
  19. (with S. Mori and I. Morrison), On four-dimensional terminal quotient singularities, Math. Comp. 51 (1988) 769-786.
  20. On the moduli of Todorov surfaces, Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata (H. Hijikata et al., eds.), vol. 1, Kinokuniya, Tokyo, 1988, pp. 313-355.
  21. (with R. Donagi), Linear systems on K3-sections, J. Differential Geom. 29 (1989) 49-64.
  22. Picard--Fuchs equations and mirror maps for hypersurfaces, Essays on Mirror Manifolds (S.-T. Yau, ed.), International Press, Hong Kong, 1992, (reprinted in: Mirror Symmetry I (S.-T. Yau, ed.), International Press, Cambridge, 1998, pp. 185--199), pp. 241-264, arXiv:hep-th/9111025.
  23. (with S. Katz), Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups, J. Algebraic Geom. 1 (1992) 449-530, arXiv:alg-geom/9202002.
  24. Complements on log surfaces, Flips and Abundance for Algebraic Threefolds (J. Kollár, ed.), Astérisque, vol. 211, Société Mathématique de France, 1992, pp. 207-214.
  25. Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, J. Amer. Math. Soc. 6 (1993) 223-247, arXiv:alg-geom/9202004.
  26. (with A. Grassi), Automorphisms and the Kähler cone of certain Calabi--Yau manifolds, Duke Math. J. 71 (1993) 831-838, arXiv:alg-geom/9212004.
  27. (with P. S. Aspinwall and B. R. Greene), The monomial-divisor mirror map, Internat. Math. Res. Notices (1993) 319-337, arXiv:alg-geom/9309007.
  28. Compactifications of moduli spaces inspired by mirror symmetry, Journées de Géométrie Algébrique d'Orsay (Juillet 1992), Astérisque, vol. 218, Société Mathématique de France, 1993, pp. 243-271, arXiv:alg-geom/9304007.
  29. (with B. W. Jordan), On the Néron models of abelian surfaces with quaternionic multiplication, J. Reine Angew. Math. 447 (1994) 1-22.
  30. (with B. Crauder), Minimal models and degenerations of surfaces with Kodaira number zero, Trans. Amer. Math. Soc. 343 (1994) 525-558.
  31. Mirror symmetry and moduli spaces of superconformal field theories, Proc. Internat. Congr. Math. Zürich 1994 (S. D. Chatterji, ed.), vol. 2, Birkhäuser Verlag, Basel, Boston, Berlin, 1995, pp. 1304-1314, arXiv:alg-geom/9411019.
  32. Beyond the Kähler cone, Proc. of the Hirzebruch 65 Conference on Algebraic Geometry (M. Teicher, ed.), Israel Math. Conf. Proc., vol. 9, Bar-Ilan University, 1996, pp. 361-376, arXiv:alg-geom/9407007.
  33. Making enumerative predictions by means of mirror symmetry, Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), AMS/IP Stud. Adv. Math., vol. 1, International Press, Cambridge, 1997, pp. 457-482, arXiv:alg-geom/9504013.
  34. Mathematical aspects of mirror symmetry, Complex Algebraic Geometry (J. Kollár, ed.), IAS/Park City Math. Series, vol. 3, 1997, pp. 265-340, arXiv:alg-geom/9609021.
  35. Through the looking glass, Mirror Symmetry III (D. H. Phong, L. Vinet, and S.-T. Yau, eds.), AMS/IP Studies in Advanced Mathematics, vol. 10, American Mathematical Society and International Press, 1999, pp. 263-277, arXiv:alg-geom/9705028.
  36. The geometry underlying mirror symmetry, New Trends in Algebraic Geometry (K. Hulek, F. Catanese, C. Peters, and M. Reid, eds.), London Math. Soc. Lecture Notes, vol. 264, Cambridge University Press, 1999, pp. 283-310, arXiv:alg-geom/9608006.
  37. Geometric aspects of mirror symmetry, Mathematics Unlimited -- 2001 and Beyond (B. Enquist and W. Schmid, eds.), Springer-Verlag, 2001, pp. 899-918, arXiv:math.AG/0007090.
  38. (with A. Grassi), Group representations and the Euler characteristic of elliptically fibered Calabi--Yau threefolds, J. Algebraic Geom. 12 (2003) 321-356, arXiv:math.AG/0005196.
  39. (with C. Curto), Threefold flops via matrix factorization, arXiv:math.AG/0611014.

Physics Articles

  1. (with P. S. Aspinwall), Topological field theory and rational curves, Comm. Math. Phys. 151 (1993) 245-262, arXiv:hep-th/9110048.
  2. (with P. S. Aspinwall and B. R. Greene), Multiple mirror manifolds and topology change in string theory, Phys. Lett. B 303 (1993) 249-259, arXiv:hep-th/9301043.
  3. \bysame, Calabi--Yau moduli space, mirror manifolds and spacetime topology change in string theory, Nuclear Phys. B 416 (1994) 414-480, Reprinted in: Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 213--280, arXiv:hep-th/9309097.
  4. (with P. Candelas, X. de la Ossa, A. Font and S. Katz), Mirror symmetry for two parameter models -- I, Nuclear Phys. B 416 (1994) 481-562, Reprinted in: Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 483--544, arXiv:hep-th/9308083.
  5. (with P. S. Aspinwall and B. R. Greene), Measuring small distances in $N=2$ sigma models, Nuclear Phys. B 420 (1994) 184-242, early working title: Limit Points in the Moduli Space of N=2 Conformal Sigma Models, arXiv:hep-th/9311042.
  6. (with P. S. Aspinwall), Chiral rings do not suffice: $N=(2,2)$ theories with nonzero fundamental group, Phys. Lett. B 334 (1994) 79-86, arXiv:hep-th/9406032.
  7. (with P. S. Aspinwall and B. R. Greene), Space--time topology change and stringy geometry, J. Math. Phys. 35 (1994) 5321-5337, (Also published in: Pascos '94, Proceedings of the Fourth International Symposium on Particles, Strings and Cosmology, (K. C. Wali, ed.), World Scientific, 1995, pp. 201--222).
  8. (with P. Candelas, A. Font and S. Katz), Mirror symmetry for two parameter models -- II, Nuclear Phys. B 429 (1994) 626-674, arXiv:hep-th/9403187.
  9. (with M. R. Plesser), Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties, Nuclear Phys. B 440 (1995) 279-354, arXiv:hep-th/9412236.
  10. (with P. S. Aspinwall and B. R. Greene), Spacetime topology change: The physics of Calabi--Yau moduli space, Strings '93 (M. B. Halpern, G. Rivlis, and A. Sevrin, eds.), World Scientific, Singapore, 1995, pp. 241-262, arXiv:hep-th/9311186.
  11. Where is the large radius limit?, Strings '93 (M. B. Halpern, G. Rivlis, and A. Sevrin, eds.), World Scientific, Singapore, 1995, pp. 311-315, arXiv:hep-th/9311049.
  12. (with P. S. Aspinwall), U-duality and integral structures, Phys. Lett. B 355 (1995) 141-149, arXiv:hep-th/9505025.
  13. (with B. R. Greene and A. Strominger), Black hole condensation and the unification of string vacua, Nuclear Phys. B 451 (1995) 109-120, arXiv:hep-th/9504145.
  14. (with B. R. Greene and M. R. Plesser), Mirror manifolds in higher dimension, Comm. Math. Phys. 173 (1995) 559-598, Reprinted in: Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 745--784, arXiv:hep-th/9402119.
  15. Mirror symmetry and the type II string, Trieste Conference on S-Duality and Mirror Symmetry, Nuclear Phys. B Proc. Suppl., vol. 46, 1996, pp. 146-155, arXiv:hep-th/9512016.
  16. (with M. R. Plesser), Towards mirror symmetry as duality for two-dimensional abelian gauge theories, Trieste Conference on S-Duality and Mirror Symmetry, Nuclear Phys. B Proc. Suppl., vol. 46, 1996, (Also published in: Strings '95, Future Perspectives in String Theory (I. Bars et al., eds.), World Scientific, 1996, pp. 374--387), pp. 177-186, arXiv:hep-th/9508107.
  17. (with P. S. Aspinwall), Stable singularities in string theory, Comm. Math. Phys. 178 (1996) 115-134, (with an appendix by Mark Gross), arXiv:hep-th/9503208.
  18. (with C. Vafa), Compactifications of F-theory on Calabi--Yau threefolds (I), Nuclear Phys. B 473 (1996) 74-92, arXiv:hep-th/9602114.
  19. \bysame, Compactifications of F-theory on Calabi--Yau threefolds (II), Nuclear Phys. B 476 (1996) 437-469, arXiv:hep-th/9603161.
  20. (with S. Katz and M. R. Plesser), Enhanced gauge symmetry in type II string theory, Nuclear Phys. B 477 (1996) 105-140, arXiv:hep-th/9601108.
  21. (with K. Becker, M. Becker, H. Ooguri, Y. Oz, and Z. Yin), Supersymmetric cycles in exceptional holonomy manifolds and Calabi--Yau $4$-folds, Nuclear Phys. B 480 (1996) 225-238, arXiv:hep-th/9608116.
  22. (with M. Bershadsky, K. Intriligator, S. Kachru, V. Sadov, and C. Vafa), Geometric singularities and enhanced gauge symmetries, Nuclear Phys. B 481 (1996) 215-252, arXiv:hep-th/9605200.
  23. (with J. Distler and B. R. Greene), Resolving singularities in (0,2) models, Nuclear Phys. B 481 (1996) 289-312, arXiv:hep-th/9605222.
  24. (with B. R. Greene and C. Vafa), A geometric realization of confinement, Nuclear Phys. B 481 (1996) 513-538, arXiv:hep-th/9608039.
  25. (with P. S. Aspinwall), String theory on K3 surfaces, Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 703-716, arXiv:hep-th/9404151.
  26. (with N. Seiberg), Extremal transitions and five-dimensional supersymmetric field theories, Nuclear Phys. B 483 (1997) 229-247, arXiv:hep-th/9609070.
  27. (with O. J. Ganor and N. Seiberg), Branes, Calabi--Yau spaces, and toroidal compactification of the $N=1$ six-dimensional $E_8$ theory, Nuclear Phys. B 487 (1997) 93-127, arXiv:hep-th/9610251.
  28. (with K. Intriligator and N. Seiberg), Five-dimensional supersymmetric gauge theories and degenerations of Calabi--Yau spaces, Nuclear Phys. B 497 (1997) 56-100, arXiv:hep-th/9702198.
  29. (with P. S. Aspinwall), Point-like instantons on K3 orbifolds, Nuclear Phys. B 503 (1997) 533-564, arXiv:hep-th/9705104.
  30. (with M. R. Douglas and B. R. Greene), Orbifold resolution by D-branes, Nuclear Phys. B 506 (1997) 84-106, arXiv:hep-th/9704151.
  31. (with P. S. Aspinwall), Non-simply-connected gauge groups and rational points on elliptic curves, J. High Energy Phys. 07 (1998) 012, arXiv:hep-th/9805206.
  32. (with B. R. Greene and J. Polchinski), String theory, Proc. Nat. Acad. Sci. U.S.A. 95 (1998) 11039-11040.
  33. (with M. R. Plesser), Non-spherical horizons, I, Adv. Theor. Math. Phys. 3 (1999) 1-81, arXiv:hep-th/9810201.
  34. (with P. S. Aspinwall and S. Katz), Lie groups, Calabi--Yau threefolds, and F-theory, Adv. Theor. Math. Phys. 4 (2000) 95-126, arXiv:hep-th/0002012.
  35. (with J. de Boer, R. Dijkgraaf, K. Hori, A. Keurentjes, J. Morgan, and S. Sethi), Triples, fluxes, and strings, Adv. Theor. Math. Phys. 4 (2001) 995-1186, arXiv:hep-th/0103170.
  36. TASI lectures on compactification and duality, Strings, Branes, and Gravity, TASI 99 (J. Harvey, S. Kachru, and E. Silverstein, eds.), World Scientific, 2001, pp. 653-719, arXiv:hep-th/0411120.
  37. (with S. Sethi), Novel type I compactifications, J. High Energy Phys. 01 (2002) 032, arXiv:hep-th/0109197.
  38. (with P. Candelas, D.-E. Diaconescu, B. Florea, and G. Rajesh), Codimension-three bundle singularities in F-theory, J. High Energy Phys. 06 (2002) 014, arXiv:hep-th/0009228.
  39. (with K. Narayan and M. R. Plesser), Localized tachyons in $\mathbbC^3/\mathbbZ_N$, J. High Energy Phys. 08 (2004) 047, arXiv:hep-th/0406039.
  40. (with K. Narayan), On tachyons, gauged linear sigma models, and flip transitions, J. High Energy Phys. 02 (2005) 062, arXiv:hep-th/0412337.
  41. (with M. Buican, D. Malyshev, H. Verlinde, and M. Wijnholt), D-branes at singularities, compactification, and hypercharge, J. High Energy Phys. 01 (2007) 107, arXiv:hep-th/0610007.
  42. (with D. Green, A. Lawrence, J. McGreevy, and E. Silverstein), Dimensional duality, Phys. Rev. D 76 (2007) 066004, arXiv:0705.0550 [hep-th].
  43. (with J. Walcher), D-branes and normal functions, arXiv:0709.4028 [hep-th].
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