HITCHIN FIBRATIONS, ABELIAN SURFACES, AND THE P=W CONJECTURE

被引:20
|
作者
de Cataldo, Mark Andrea [1 ]
Maulik, Davesh [2 ]
Shen, Junliang [3 ]
机构
[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
[2] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02138 USA
[3] Yale Univ, Dept Math, 442 Dunham Lab,10 Hillhouse Ave, New Haven, CT 06511 USA
基金
美国国家科学基金会;
关键词
MODULI SPACES; COHOMOLOGY RING; HILBERT SCHEMES; HODGE THEORY; PERVERSE FILTRATION; SHEAVES; GENERATORS; TOPOLOGY; POINTS; MONODROMY;
D O I
10.1090/jams/989
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:911 / 953
页数:43
相关论文
共 50 条
  • [31] Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces
    Keller, Timo
    Stoll, Michael
    COMPTES RENDUS MATHEMATIQUE, 2022, 360 (01) : 483 - 489
  • [32] On the Lang-Trotter conjecture for a class of non-generic abelian surfaces
    Amri, Mohammed Amin
    RAMANUJAN JOURNAL, 2024, 65 (01): : 69 - 79
  • [33] Spaces of Abelian Differentials and Hitchin's Spectral Covers
    Bertola, M.
    Korotkin, D.
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (15) : 11246 - 11269
  • [34] Syzygies of abelian and bielliptic surfaces in p(4)
    Aure, A
    Decker, W
    Hulek, K
    Popescu, S
    Ranestad, K
    INTERNATIONAL JOURNAL OF MATHEMATICS, 1997, 8 (07) : 849 - 919
  • [35] ABELIAN p-GROUPS OF SYMMETRIES OF SURFACES
    Talu, Y.
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (03): : 1129 - 1140
  • [36] EXAMPLES OF ABELIAN SURFACES IN P4
    HULEK, K
    LANGE, H
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1985, 363 : 201 - 216
  • [37] Fibrations associated to smooth quotients of abelian varieties
    Gary Martinez-Nuñez
    Geometriae Dedicata, 2021, 215 : 297 - 314
  • [38] On the Shafarevich conjecture for genus-2 fibrations
    Gurjar, R. V.
    Purnaprajna, B. P.
    MATHEMATISCHE ANNALEN, 2009, 343 (04) : 791 - 800
  • [39] On the Shafarevich conjecture for genus-2 fibrations
    R. V. Gurjar
    B. P. Purnaprajna
    Mathematische Annalen, 2009, 343 : 791 - 800
  • [40] Projective Embeddings and Lagrangian Fibrations of Abelian Varieties
    Yuichi Nohara
    Mathematische Annalen, 2005, 333 : 741 - 757