Pfaffian systems of A-hypergeometric equations I: Bases of twisted cohomology groups

详细信息    查看全文

• 作者：Takayuki Hibi ; Kenta Nishiyama ; Nobuki Takayama ; ^{takayama@math.kobe-u.ac.jp}
• 关键词：A-hypergeometric system ; Twisted cohomology group ; Order polytope ; Grö ; bner basis
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：14 January 2017
• 年：2017
• 卷：306
• 期：Complete
• 页码：303-327
• 全文大小：526 K
• 卷排序：306

文摘

We consider bases of Pfaffian systems for A-hypergeometric systems. These are given by Gröbner deformations, they also provide bases for twisted cohomology groups. For a hypergeometric system associated with a class of order polytopes, these bases have a combinatorial description. The size of the bases associated with a subclass of the order polytopes has a growth rate of polynomial order.