Stokes-Perverse Sheaves on Riemann Surfaces

被引：0
|
作者：
Sabbah, Claude
机构：
来源：
INTRODUCTION TO STOKES STRUCTURES | 2013年 / 2060卷
关键词：
D O I：
10.1007/978-3-642-31695-1_4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this chapter, we introduce the global notion of Stokes-perverse sheaves on a Riemann surface. The Riemann-Hilbert correspondence of the next chapter will be an equivalence between holonomic D-modules on the Riemann surface and Stokes-perverse sheaves on it. If k is a subfield of C, this allows one to speak of a k-structure on a holonomic D-module when the corresponding Stokes-perverse is defined over k.
引用
收藏
页码：51 / 64
页数：14
相关论文
共 50 条
  • [41] CRITICAL VIRTUAL MANIFOLDS AND PERVERSE SHEAVES
    Kiem, Young-Hoon
    Li, Jun
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (03) : 623 - 669
  • [42] Perverse sheaves on smooth toric varieties
    Dupont, Delphine
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (15-16) : 853 - 856
  • [43] Perverse sheaves, Mellin transformation and determinants
    Loeser, F
    BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1996, 124 (03): : 7 - +
  • [44] Perverse sheaves of categories and some applications
    Harder, Andrew
    Katzarkov, Ludmil
    ADVANCES IN MATHEMATICS, 2019, 352 : 1155 - 1205
  • [45] On the length of perverse sheaves on hyperplane arrangements
    Budur, Nero
    Liu, Yongqiang
    EUROPEAN JOURNAL OF MATHEMATICS, 2020, 6 (03) : 681 - 712
  • [46] The ADHM variety and perverse coherent sheaves
    Jardim, Marcos
    Martins, Renato Vidal
    JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (11) : 2219 - 2232
  • [47] Explicit models for perverse sheaves, II
    Gudiel-Rodriguez, F.
    Narvaez-Macarro, L.
    ALGEBRAS AND REPRESENTATION THEORY, 2008, 11 (02) : 149 - 178
  • [48] Explicit Models for Perverse Sheaves, II
    F. Gudiel-Rodríguez
    L. Narváez-Macarro
    Algebras and Representation Theory, 2008, 11 : 149 - 178
  • [49] STACKS SIMILAR TO THE STACK OF PERVERSE SHEAVES
    Treumann, David
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (10) : 5395 - 5409
  • [50] ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES
    Henni, Abdelmoubine Amar
    Jardim, Marcos
    Martins, Renato Vidal
    GLASGOW MATHEMATICAL JOURNAL, 2015, 57 (02) : 285 - 321
12345