A-hypergeometric functions in transcendental questions of algebraic geometry

被引：0
|
作者：
Stoyanovsky, A. V. [1 ]
机构：
[1] Russian State Univ Humanities, Moscow, Russia
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2014年 / 48卷 / 01期
关键词：
hypergeometric system; periods; Gelfand-Leray integral;
D O I：
10.1007/s10688-014-0048-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize known constructions of A-hypergeometric functions. In particular, we show that the periods of middle dimension on affine or projective complex algebraic varieties are A-hypergeometric functions of the coefficients of polynomial equations of these varieties.
引用
收藏
页码：76 / 78
页数：3
相关论文
共 50 条
  • [1] A-hypergeometric functions in transcendental questions of algebraic geometry
    A. V. Stoyanovsky
    Functional Analysis and Its Applications, 2014, 48 : 76 - 78
  • [2] Algebraic A-hypergeometric functions
    Frits Beukers
    Inventiones mathematicae, 2010, 180 : 589 - 610
  • [3] Algebraic A-hypergeometric functions
    Beukers, Frits
    INVENTIONES MATHEMATICAE, 2010, 180 (03) : 589 - 610
  • [4] Monodromy of A-hypergeometric functions
    Beukers, Frits
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2016, 718 : 183 - 206
  • [5] On Transformations of A-Hypergeometric Functions
    Forsgard, Jens
    Matusevich, Laura Felicia
    Sobieska, Aleksandra
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2019, 62 (03): : 319 - 336
  • [6] A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations
    Bod, Esther
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2014, 25 (03): : 427 - 453
  • [7] Feynman integrals as A-hypergeometric functions
    Leonardo de la Cruz
    Journal of High Energy Physics, 2019
  • [8] Feynman integrals as A-hypergeometric functions
    de la Cruz, Leonardo
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (12)
  • [9] A-HYPERGEOMETRIC SYSTEMS THAT COME FROM GEOMETRY
    Adolphson, Alan
    Sperber, Steven
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (06) : 2033 - 2042
  • [10] GENERALIZED EULER INTEGRALS AND A-HYPERGEOMETRIC FUNCTIONS
    GELFAND, IM
    KAPRANOV, MM
    ZELEVINSKY, AV
    ADVANCES IN MATHEMATICS, 1990, 84 (02) : 255 - 271
12345