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Singularities of theta divisors and the birational geometry of irregular varieties
Author(s):
Lawrence
Ein;
Robert
Lazarsfeld
Journal:
J. Amer. Math. Soc.
10
(1997),
243-258.
MSC (1991):
Primary 14K25, 14J99, 32J27
MathSciNet review:
1396893
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Additional information
References:
- [AM]
- A. Andreotti and A. Mayer, On period relations for abelian integrals on algebraic curves, Ann. Scuola Norm. Sup. Pisa 21 (1967), 189-238. MR 36:3792
- [AD]
- E. Arbarello and C. DeConcini, Another proof of a conjecture of S. P. Novikov on periods of abelian integrals on Riemann surfaces, Duke Math. J. 54 (1987), 163-178. MR 88i:14025
- [De]
- J.-P. Demailly,
 vanishing theorems for positive line bundles and adjunction theory (to appear). - [GL1]
- M. Green and R. Lazarsfeld, Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville, Invent. Math. 90 (1987), 389-407. MR 89b:32025
- [GL2]
- -, Higher obstructions to deforming cohomology groups of line bundles, Jour. of A.M.S. 4 (1991), 87-103. MR 92i:32021
- [Ka]
- Y. Kawamata, Characterization of abelian varieties, Comp. Math. 43 (1981), 253-276. MR 83j:14029
- [KMM]
- Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model program, Adv. Study in Pure Math. 10 (1987), 283-360. MR 89e:14015
- [KV]
- Y. Kawamata and E. Viehweg, On a characterization of abelian varieties in the classification theory of algebraic varieties, Comp. Math. 41 (1981), 355-360. MR 82c:14028
- [K]
- G. Kempf, On the geometry of a theorem of Riemann, Ann. of Math. 98 (1973), 178-185. MR 50:2180
- [Kol1]
- J. Kollár, Higher direct images of dualizing sheaves, I, Ann. of Math 123 (1986), 11-42. MR 87c:14038
- [Kol2]
- -, Shafarevich maps and plurigenera of algebraic varieties, Invent. Math. 113 (1993), 177-215. MR 94m:14018
- [Kol3]
- -, Shafarevich Maps and Automorphic Forms, Princeton Univ. Press, 1995. MR 96i:14016
- [Kol4]
- -, Singularities of pairs (to appear).
- [LB]
- H. Lange and C. Birkenhake, Complex Abelian Varieties, Springer, 1992. MR 94j:14001
- [Mori]
- S. Mori, Classification of higher dimensional varieties, Proc. Symp. Pure Math. 46 (1987), 269-332. MR 89a:14040
- [Muk]
- S. Mukai, Duality between
 and  , with application to Picard sheaves, Nagoya Math. J. 81 (1981), 153-175. MR 82f:14036 - [Nak]
- M. Nakamaye, Reducibility of principally polarized abelian varieties with highly singular polarization (to appear).
- [SV]
- R. Smith and R. Varley, Multiplicity
 points on theta divisors, Duke Math. Jour. 82 (1996), 319-326. CMP 96:12 - [Var]
- J. Varouchas, Sur l'image d'une variété Kählérienne compacte, Fonctions de Plusieurs Variables Complexes V, Lecture Notes in Math. 1188 (1986), 245-256. MR 89d:32064
- [Z]
- Qi Zhang, Global holomorphic one-forms and Euler characteristics on projective manifolds with ample canonical bundles (to appear).
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Additional Information:
Lawrence
Ein
Affiliation:
Department of Mathematics, University of Illinois at Chicago, Chicago, Illinois 60680
Email:
U22425@math.uic.edu
Robert
Lazarsfeld
Affiliation:
Department of Mathematics, University of California, Los Angeles, California 90024
Email:
rkl@math.ucla.edu
DOI:
10.1090/S0894-0347-97-00223-3
PII:
S 0894-0347(97)00223-3
Keywords:
Singularities,
theta divisors,
generic vanishing theorem,
Albanese mapping
Received by editor(s):
March 29, 1996
Received by editor(s) in revised form:
June 20, 1996
Additional Notes:
The first author was partially supported by N.S.F. Grant DMS 93-02512. The second author was partially supported by N.S.F. Grant DMS 94-00815
Copyright of article:
Copyright
1997,
American Mathematical Society
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