Weights on cohomology, invariants of singularities, and dual complexes

被引:0
|
作者
Donu Arapura
Parsa Bakhtary
Jarosław Włodarczyk
机构
[1] Purdue University,Department of Mathematics
[2] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源
Mathematische Annalen | 2013年 / 357卷
关键词
Spectral Sequence; Simplicial Complex; Toric Variety; Homotopy Type; Exceptional Divisor;
D O I
暂无
中图分类号
学科分类号
摘要
We study the weight filtration on the cohomology of a proper complex algebraic variety and obtain natural upper bounds on its size, when it is the exceptional divisor of a singularity. We also give bounds for the cohomology of links. The invariants of singularities introduced here gives rather strong information about the topology of rational and related singularities.
引用
收藏
页码:513 / 550
页数:37
相关论文
共 50 条
  • [41] Lattice cohomology of normal surface singularities
    Nemethi, Andras
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2008, 44 (02) : 507 - 543
  • [42] Group cohomology for modular forms with singularities
    Choi, Dohoon
    Lim, Subong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 546 (02)
  • [43] Singularities and some invariants of singularities in contact 3-manifolds
    Chiu, Hung-Lin
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (05): : 1391 - 1408
  • [44] Homological invariants for classification of kinematic singularities
    Leve, Frederick A.
    AUTOMATICA, 2020, 111 (111)
  • [45] The asymptotic Samuel function and invariants of singularities
    Benito, A.
    Bravo, A.
    Encinas, S.
    REVISTA MATEMATICA COMPLUTENSE, 2024, 37 (02): : 603 - 652
  • [46] Invariants of hypersurface singularities in positive characteristic
    Boubakri, Yousra
    Greuel, Gert-Martin
    Markwig, Thomas
    REVISTA MATEMATICA COMPLUTENSE, 2012, 25 (01): : 61 - 85
  • [47] TOPOLOGICAL INVARIANTS AND MODULI OF GORENSTEIN SINGULARITIES
    Natanzon, Sergey
    Pratoussevitch, Anna
    JOURNAL OF SINGULARITIES, 2013, 7 : 61 - 87
  • [49] The asymptotic Samuel function and invariants of singularities
    A. Benito
    A. Bravo
    S. Encinas
    Revista Matemática Complutense, 2024, 37 : 603 - 652
  • [50] BPS invariants for resolutions of polyhedral singularities
    Jim Bryan
    Amin Gholampour
    Selecta Mathematica, 2009, 15 : 521 - 533