Publications of David R. Morrison

Last update: 21 March 2001. 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, 2 vols., American Mathematical Society, Providence, 1999.

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. pdf file
  2. Semistable degenerations of Enriques' and hyperelliptic surfaces, Duke Math. J. 48 (1981), 197-249. pdf file
  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. pdf file
  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. pdf file
  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. pdf file
  10. Algebraic cycles on products of surfaces, Proc. Algebraic Geometry Symposium, Tôhoku University, 1984, pp. 194-210. pdf file
  11. The Kuga-Satake variety of an abelian surface, J. Algebra 92 (1985), 454-476. pdf file
  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. pdf file, 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. pdf file
  15. (with R. Miranda), The number of embeddings of integral quadratic forms, II, Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), 29-32. pdf file
  16. A remark on Kawamata's paper `On the plurigenera of minimal algebraic 3-folds with K \equiv 0', Math. Ann. 275 (1986), 547-553. pdf file
  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. pdf file
  18. Isogenies between algebraic surfaces with geometric genus one, Tokyo J. Math. 10 (1987), 179-187. pdf file
  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. pdf file
  21. (with R. Donagi), Linear systems on K3-sections, J. Differential Geom. 29 (1989), 49-64. pdf file
  22. Picard-Fuchs equations and mirror maps for hypersurfaces, Essays on Mirror Manifolds (S.-T. Yau, ed.), International Press, Hong Kong, 1992, pp. 241-264, alg-geom/9202026.
  23. (with S. Katz), Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups, J. Algebraic Geom. 1 (1992), 449-530, alg-geom/9202002; this paper has an accompanying maple source file.
  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, dvi file.
  25. Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, J. Amer. Math. Soc. 6 (1993), 223-247,* [alg-geom/9202004].
  26. (with A. Grassi), Automorphisms and the Kähler cone of certain Calabi-Yau manifolds, Duke Math. J. 71 (1993), 831-838, alg-geom/9212004.
  27. (with P. S. Aspinwall and B. R. Greene), The monomial-divisor mirror map, Internat. Math. Res. Notices (1993), 319-337, 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, 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, dvi file.
  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, 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, alg-geom/9407007.
  33. Making enumerative predictions by means of mirror symmetry, Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 457-482, 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, alg-geom/9609021.
  35. Through the looking glass, Mirror Symmetry III (D. H. Phong, L. Vinet, and S.-T. Yau, eds.), American Mathematical Society and International Press, 1999, pp. 263-277, 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, 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, math.AG/0007090.
  38. (with A. Grassi), Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds, math.AG/0005196.

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Physics Articles

  1. (with P. S. Aspinwall), Topological field theory and rational curves, Comm. Math. Phys. 151 (1993), 245-262, 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, hep-th/9301043.
  3. (with P. S. Aspinwall and B. R. Greene), Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory, Nuclear Phys. B 416 (1994), 414-480, [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, [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, [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, 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), dvi file.
  8. (with P. Candelas, A. Font and S. Katz), Mirror symmetry for two parameter models - II, Nuclear Phys. B 429 (1994), 626-674, [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, [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, 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, hep-th/9311049.
  12. (with P. S. Aspinwall), U-duality and integral structures, Phys. Lett. B 355 (1995), 141-149, 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, [hep-th/9504145].
  14. (with B. R. Greene and M. R. Plesser), Mirror manifolds in higher dimension, Comm. Math. Phys. 173 (1995), 559-598, 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, [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, pp. 177-186, (also published in: Strings '95, Future Perspectives in String Theory (I. Bars et al., eds.), World Scientific, 1996, pp. 374-387), [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), hep-th/9503208.
  18. (with C. Vafa), Compactifications of F-theory on Calabi-Yau threefolds (I), Nuclear Phys. B 473 (1996), 74-92, [hep-th/9602114].
  19. (with C. Vafa), Compactifications of F-theory on Calabi-Yau threefolds (II), Nuclear Phys. B 476 (1996), 437-469, [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, [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, [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, [hep-th/9605200].
  23. (with J. Distler and B. R. Greene), Resolving singularities in (0,2) models, Nuclear Phys. B 481 (1996), 289-312, [hep-th/9605222].
  24. (with B. R. Greene and C. Vafa), A geometric realization of confinement, Nuclear Phys. B 481 (1996), 513-538, [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, hep-th/9404151.
  26. (with N. Seiberg), Extremal transitions and five-dimensional supersymmetric field theories, Nuclear Phys. B 483 (1997), 229-247, [hep-th/9609070].
  27. (with O. J. Ganor and N. Seiberg), Branes, Calabi-Yau spaces, and toroidal compactification of the N=1 six-dimensional E8 theory, Nuclear Phys. B 487 (1997), 93-127, [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, [hep-th/9702198].
  29. (with P. S. Aspinwall), Point-like instantons on K3 orbifolds, Nuclear Phys. B 503 (1997), 533-564, [hep-th/9705104].
  30. (with M. R. Douglas and B. R. Greene), Orbifold resolution by D-branes, Nuclear Phys. B 506 (1997), 84-106, [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, [hep-th/9805206].
  32. (with B. R. Greene and J. Polchinski), String theory, Proc. Nat. Acad. Sci. 95 (1998) 11039-11040.
  33. (with M. R. Plesser), Non-spherical horizons, I, Adv. Theor. Math. Phys. 3 (1999) 1-81, [hep-th/9810201].
  34. (with P. S. Aspinwall and S. Katz), Lie groups, Calabi-Yau threefolds, and F-theory, Adv. Theor. Math. Phys., to appear, hep-th/0002012.
  35. (with P. Candelas, D.-E. Diaconescu, B. Florea, and G. Rajesh), Codimension-three bundle singularities in F-theory, hep-th/0009228.
  36. (with J. de Boer, R. Dijkgraaf, K. Hori, A. Keurentjes, J. Morgan, and S. Sethi), Triples, fluxes, and strings, hep-th/0103170.
  37. (with S. Sethi), Novel type I compactifications, hep-th/0109197.
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