Cited By
View all- Hibi TNishiyama KTakayama N(2017)Pfaffian systems of A-hypergeometric equations I: Bases of twisted cohomology groupsAdvances in Mathematics10.1016/j.aim.2016.10.021306(303-327)Online publication date: Jan-2017
Computing Bases of Twisted Cohomology Groups for Sparse Polynomials
Pages 118 - 120
Abstract
We present an algorithm to construct bases of twisted cohomology groups for the complement of a generic sparse polynomial over a generic local system of rank 1. The algorithm is based on the theory given in a recent preprint [1].
References
[1]
T. Hibi, K. Nishiyama, N. Takayama, Pfaffian Systems of A-Hypergeometric Equations I: Bases of Twisted Cohomology Groups, arxiv:1212.6103
[2]
H. Nakayama, N. Takayama, Computing Differential Equations for Integrals Associated to Smooth Fano Polytopes, Japan Journal of Industrial and Applied Mathematics 30 (2013), 307--319.
[3]
T. Oaku, Algorithms for b-functions, restrictions, and algebraic local cohomology groups of D-modules, Advances in Applied Mathematics 19 (1997), 61--105.
[4]
P. Orlik, H. Terao, Arrangements and Hypergeometric Integrals, MSJ Memoirs vol. 9, Mathematical Society of Japan, 2001.
[5]
M. Saito, B. Sturmfels, N. Takayama, Gröbner Deformations of Hypergeometric Differential Equations, Springer, 2000.
- Computing Bases of Twisted Cohomology Groups for Sparse Polynomials
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Published In
September/December 2014
123 pages
Copyright © 2015 Authors.
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Association for Computing Machinery
New York, NY, United States
Publication History
Published: 05 February 2015
Published in SIGSAM-CCA Volume 48, Issue 3/4
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Cited By
View all- Hibi TNishiyama KTakayama N(2017)Pfaffian systems of A-hypergeometric equations I: Bases of twisted cohomology groupsAdvances in Mathematics10.1016/j.aim.2016.10.021306(303-327)Online publication date: Jan-2017
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