Lefschetz Decompositions for Quotient Varieties

被引:0
|
作者
Akhtar, Reza [1 ]
Joshua, Roy [2 ]
机构
[1] Miami Univ, Dept Math, Oxford, OH 45056 USA
[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
关键词
Lefschetz decomposition; Kunneth decomposition; ABELIAN SCHEMES; CHOW GROUPS; CONJECTURES; MOTIVES;
D O I
10.1017/is008001012jkt038
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In an earlier paper, the authors constructed an explicit Chow-Kunneth decomposition for the quotient of an abelian variety by the action of a finite group. In the present paper, the authors extend the techniques used there to obtain an explicit Lefschetz decomposition for such quotient varieties.
引用
收藏
页码:547 / 560
页数:14
相关论文
共 50 条
  • [31] On the Grothendieck-Lefschetz theorem for a family of varieties
    Antei, Marco
    Mehta, Vikram B.
    BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (04): : 423 - 431
  • [32] A Lefschetz fibration on minimal symplectic fillings of a quotient surface singularity
    Hakho Choi
    Jongil Park
    Mathematische Zeitschrift, 2020, 295 : 1183 - 1204
  • [33] AN ARTINIAN POINT-CONFIGURATION QUOTIENT AND THE STRONG LEFSCHETZ PROPERTY
    Kim, Young Rock
    Shin, Yong-Su
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (04) : 763 - 783
  • [34] Remarks on the Lefschetz standard conjecture and hyperkahler varieties
    Charles, Francois
    COMMENTARII MATHEMATICI HELVETICI, 2013, 88 (02) : 449 - 468
  • [35] Decompositions related to symmetric varieties
    Springer, T. A.
    JOURNAL OF ALGEBRA, 2011, 329 (01) : 260 - 273
  • [36] DECOMPOSITIONS OF DUAL DISCRIMINATOR VARIETIES
    BIGNALL, RJ
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 44 (02) : 297 - 301
  • [37] LEFSCHETZ THEORY FOR AFFINE ALGEBRAIC-VARIETIES
    NEMETHI, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 303 (12): : 567 - 570
  • [38] Semi-orthogonal decompositions of GIT quotient stacks
    Spenko, Spela
    Van den Bergh, Michel
    SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (02):
  • [39] Controllability Decompositions of Networked Systems Through Quotient Graphs
    Martini, Simone
    Egerstedt, Magnus
    Bicchi, Antonio
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 5244 - 5249
  • [40] Semi-orthogonal decompositions of GIT quotient stacks
    Špela Špenko
    Michel Van den Bergh
    Selecta Mathematica, 2021, 27