A version of Cartan's Theorem A for coherent sheaves on real affine varieties

被引:1
|
作者
Kowalczyk, Tomasz [1 ]
机构
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
关键词
Real algebraic geometry; coherent sheaf; Cartan's Theorem A; ALGEBRAIC-GEOMETRY;
D O I
10.1142/S0129167X18500581
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a version of Cartan's Theorem A for nonsingular real affine varieties after blowing up.
引用
收藏
页数:10
相关论文
共 50 条
  • [31] A Lazard-Like Theorem for Quasi-Coherent Sheaves
    Sergio Estrada
    Pedro A. Guil Asensio
    Sinem Odabaşı
    Algebras and Representation Theory, 2013, 16 : 1193 - 1205
  • [32] Real torus actions on real affine algebraic varieties
    Gillard, Pierre-Alexandre
    MATHEMATISCHE ZEITSCHRIFT, 2022, 301 (02) : 1507 - 1536
  • [33] Real torus actions on real affine algebraic varieties
    Pierre-Alexandre Gillard
    Mathematische Zeitschrift, 2022, 301 : 1507 - 1536
  • [34] On Representative Domains and Cartan's Theorem
    Yamamori, Atsushi
    COMPLEX ANALYSIS AND GEOMETRY, KSCV 10, 2015, 144 : 343 - 351
  • [35] Twisted polytope sheaves and coherent-constructible correspondence for toric varieties
    Zhou, Peng
    SELECTA MATHEMATICA-NEW SERIES, 2019, 25 (01):
  • [36] On Cartan's theorem for linear operators
    Chen, Wei
    Han, Qi
    Qu, Jingjing
    MATHEMATISCHE NACHRICHTEN, 2017, 290 (16) : 2560 - 2566
  • [37] INDEX OF VARIETIES OVER HENSELIAN FIELDS AND EULER CHARACTERISTIC OF COHERENT SHEAVES
    Esnault, Iielene
    Levine, Marc
    Wittenberg, Olivier
    JOURNAL OF ALGEBRAIC GEOMETRY, 2015, 24 (04) : 693 - 718
  • [38] A GENERAL NONLINEAR VERSION OF ROTH'S THEOREM ON THE REAL LINE
    Li, Xiang
    Yan, Dunyan
    Yu, Haixia
    Zhang, Xingsong
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (03): : 1119 - 1153
  • [39] AN ALGORITHMIC APPROACH TO CHEVALLEY'S THEOREM ON IMAGES OF RATIONAL MORPHISMS BETWEEN AFFINE VARIETIES
    Barakat, Mohamed
    Lange-Hegermann, Markus
    MATHEMATICS OF COMPUTATION, 2022, 91 (333) : 451 - 490
  • [40] COHERENT IC-SHEAVES ON TYPE An AFFINE GRASSMANNIANS AND DUAL CANONICAL BASIS OF AFFINE TYPE A1
    Finkelberg, Michael
    Fujita, Ryo
    REPRESENTATION THEORY, 2021, 25 : 67 - 89