Singularities of theta divisors and the birational geometry of irregular varieties

被引：109
|
作者：
Ein, L [1 ]
Lazarsfeld, R [1 ]
机构：
[1] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90024
来源：
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 10卷 / 01期
关键词：
singularities; theta divisors; generic vanishing theorem; Albanese mapping;
D O I：
10.1090/S0894-0347-97-00223-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：243 / 258
页数：16
相关论文
共 50 条
  • [1] Singularities of theta divisors in algebraic geometry
    Casalaina-Martin, Sebastian
    [J]. CURVES AND ABELIAN VARIETIES, 2008, 465 : 25 - 43
  • [2] Singularities of theta divisors and the geometry of A5
    Farkas, G.
    Grushevsky, S.
    Manni, R. Salvati
    Verra, A.
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2014, 16 (09) : 1817 - 1848
  • [3] Irregular varieties with geometric genus one, theta divisors, and fake tori
    Chen, Jungkai
    Jiang, Zhi
    Tian, Zhiyu
    [J]. ADVANCES IN MATHEMATICS, 2017, 320 : 361 - 390
  • [4] On the singularities of theta divisors on Jacobians
    Bressler, P
    Brylinski, JL
    [J]. JOURNAL OF ALGEBRAIC GEOMETRY, 1998, 7 (04) : 781 - 796
  • [5] Secant varieties and birational geometry
    Vermeire, P
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2002, 242 (01) : 75 - 95
  • [6] Secant varieties and birational geometry
    Peter Vermeire
    [J]. Mathematische Zeitschrift, 2002, 242 : 75 - 95
  • [7] ON THE BIRATIONAL GEOMETRY OF SCHUBERT VARIETIES
    Schmidt, Benjamin
    [J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2015, 143 (03): : 489 - 502
  • [8] Birational geometry of symplectic quotient singularities
    Gwyn Bellamy
    Alastair Craw
    [J]. Inventiones mathematicae, 2020, 222 : 399 - 468
  • [9] Birational geometry of symplectic quotient singularities
    Bellamy, Gwyn
    Craw, Alastair
    [J]. INVENTIONES MATHEMATICAE, 2020, 222 (02) : 399 - 468
  • [10] On the birational geometry of Hilbert schemes of points and Severi divisors
    Huerta, Cesar Lozano
    Ryan, Tim
    [J]. COMMUNICATIONS IN ALGEBRA, 2020, 48 (11) : 4596 - 4614
12345