3 papers
math.GT2011
Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements
Ko-Ki Ito, Masahiko Yoshinaga
We describe an explicit semi-algebraic partition for the complement of a real hyperplane arrangement such that each piece is contractible and so that the pieces form a basis of Bor…
math.CA2008
Twisted Poincaré Lemma and Twisted Čech-de Rham Isomorphism in case of Projective Line
Ko-Ki Ito
In this paper, we give a direct proof of the twisted Poincaré lemma by using the integrations over regularized paths. This method tells us a concrete description of the Čech-de Rha…
math.CA2008
The Elliptic Hypergeometric Functions Associated to the Configuration Space of Points on an Elliptic Curve I : Twisted Cycles
Ko-Ki Ito
We consider the Euler type integral associated to the configuration space of points on an elliptic curve, which is an analogue of the hypergeometric function associated to the conf…