A-hypergeometric systems and relative cohomology
نویسندگان
چکیده
منابع مشابه
Dwork cohomology, de Rham cohomology, and hypergeometric functions
In the 1960’s, Dwork developed a p-adic cohomology theory of de Rham type for varieties over finite fields, based on a trace formula for the action of a Frobenius operator on certain spaces of p-analytic functions. One can consider a purely algebraic analogue of Dwork’s theory for varieties over a field of characteristic zero and ask what is the connection between this theory and ordinary de Rh...
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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.
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2020
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x2050113x