Periods for flat algebraic connections

被引：0
|
作者：
Marco Hien
机构：
[1] Universität Regensburg,NWF I—Mathematik
来源：
Inventiones mathematicae | 2009年 / 178卷
关键词：
Vector Bundle; Rapid Decay; Good Lattice; Local Duality; Formal Decomposition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In previous work (Hien, Math. Ann. 337, 631–669, 2007), we established a duality between the algebraic de Rham cohomology of a flat algebraic connection on a smooth quasi-projective surface over the complex numbers and the rapid decay homology of the dual connection relying on a conjecture by C. Sabbah. In the present article, we generalize this result to arbitrary dimensions unconditionally using recent results of T. Mochizuki.
引用
收藏
页码：1 / 22
页数：21
相关论文
共 50 条
  • [31] Periods for irregular singular connections on surfaces
    Marco Hien
    [J]. Mathematische Annalen, 2007, 337 : 631 - 669
  • [32] Periods for irregular singular connections on surfaces
    Hien, Marco
    [J]. MATHEMATISCHE ANNALEN, 2007, 337 (03) : 631 - 669
  • [33] Line bundles and flat connections
    Biswas, Indranil
    Schumacher, Georg
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2017, 127 (03): : 547 - 549
  • [34] Reworking flat cable connections
    A.P.E. South, Key Largo, United States
    [J]. SMT Surf Mount Technol Mag, 8 (138, 140):
  • [35] N-flat connections
    Angel, Mauricio
    Diaz, Rafael
    [J]. GEOMETRIC AND TOPOLOGICAL METHODS FOR QUANTUM FIELD THEORY, 2007, 434 : 163 - +
  • [36] Lectures on meromorphic flat connections
    Novikov, D
    Yakovenko, S
    [J]. NORMAL FORMS, BIFURCATIONS AND FINITENESS PROBLEMS IN DIFFERENTIAL EQUATIONS, 2004, 137 : 387 - 430
  • [37] QUADRATIC RELATIONS BETWEEN PERIODS OF CONNECTIONS
    Fresan, Javier
    Sabbah, Claude
    Yu, Jeng-Daw
    [J]. TOHOKU MATHEMATICAL JOURNAL, 2023, 75 (02) : 175 - 213
  • [38] Algebraic connections between topological indices
    Chan, O
    Gutman, I
    Lam, TK
    Merris, R
    [J]. JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1998, 38 (01): : 62 - 65
  • [39] Monodromies of algebraic connections on the trivial bundle
    Jun, B
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (10): : 809 - 813
  • [40] ALGEBRAIC INDEPENDENCE OF PERIODS AND LOGARITHMS OF DRINFELD MODULES
    Chang, Chieh-Yu
    Papanikolas, Matthew A.
    Conrad, Brian
    [J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 25 (01) : 123 - 150
12345