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4 papers · 1 filter
The Computation of the Logarithmic Cohomology for Plane Curves
Francisco Jesus Castro-Jimenez, Nobuki Takayama
We give algorithms of computing bases of logarithmic cohomology groups for square-free polynomials in two variables. (Fixed typos of v1)
Instanton counting on blowup. II. -theoretic partition function
Hiraku Nakajima, Kota Yoshioka
We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the char…
Splitting criterion for reflexive sheaves
Takuro Abe, Masahiko Yoshinaga
The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into…
An Algorithm of Constructing Cohomological Series Solutions of Holonomic Systems
Nobuki Takayama
We present an algorithm to construct a basis of k-th extension group of a D-module M in ring of the formal power series Ext_D^k(M,O).