Algebraic cycles on Prym varieties

被引：3
|
作者：
Arap, Maxim [1 ]
机构：
[1] Univ Georgia, Dept Math, Athens, GA 30602 USA
来源：
MATHEMATISCHE ANNALEN | 2012年 / 353卷 / 03期
关键词：
SUBVARIETIES; CURVE;
D O I：
10.1007/s00208-011-0699-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article proposes a generalization of tautological rings introduced by Beauville and Moonen for Jacobians. The main result is that, under certain hypotheses, the special subvarieties of Prym varieties are algebraically equivalent and their classes belong to the tautological ring.
引用
收藏
页码：707 / 726
页数：20
相关论文
共 50 条
  • [31] Fibred algebraic surfaces and commutators in the Symplectic group
    Catanese, Fabrizio
    Corvaja, Pietro
    Zannier, Umberto
    JOURNAL OF ALGEBRA, 2020, 562 : 200 - 228
  • [32] Using polynomial interpolation for implicitizing algebraic curves
    Marco, A
    Martínez, JJ
    COMPUTER AIDED GEOMETRIC DESIGN, 2001, 18 (04) : 309 - 319
  • [33] ON THE TORSION ANOMALOUS CONJECTURE IN CM ABELIAN VARIETIES
    Checcoli, Sara
    Viada, Evelina
    PACIFIC JOURNAL OF MATHEMATICS, 2014, 271 (02) : 321 - 345
  • [34] Unilinear residuated lattices: axiomatization, varieties and FEP
    Galatos, Nikolaos
    Zhuang, Xiao
    ALGEBRA UNIVERSALIS, 2024, 85 (03)
  • [35] Subvarieties of small codimension in smooth projective varieties
    QiFeng Li
    Science China Mathematics, 2015, 58 : 519 - 524
  • [36] Hyperbolicity and Uniformity of Varieties of Log General type
    Ascher, Kenneth
    DeVleming, Kristin
    Turchet, Amos
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (04) : 2532 - 2581
  • [37] FINITE SUBSCHEMES OF ABELIAN VARIETIES AND THE SCHOTTKY PROBLEM
    Gulbrandsen, Martin G.
    Lahoz, Marti
    ANNALES DE L INSTITUT FOURIER, 2011, 61 (05) : 2039 - 2064
  • [38] On abelian points of varieties intersecting subgroups in a torus
    Mello, Jorge
    JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2022, 34 (01): : 309 - 322
  • [39] Families of abelian varieties with many isogenous fibres
    Orr, Martin
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2015, 705 : 211 - 231
  • [40] Subvarieties of small codimension in smooth projective varieties
    LI QiFeng
    Science China(Mathematics), 2015, 58 (03) : 519 - 524
12345