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4 papers · 1 filter
On Algebraic Expressions of Sigma Functions for (n,s) Curves
Atsushi Nakayashiki
An expression of the multivariate sigma function associated with a (n,s)-curve is given in terms of algebraic integrals. As a corollary the first term of the series expansion aroun…
Finite branch solutions to Painleve VI around a fixed singular point
Katsunori Iwasaki
Every finite branch solutions to the sixth Painleve equation around a fixed singular point is an algebraic branch solution. In particular a global solution is an algebraic solution…
Formulas for multiplier ideals on singular varieties
Shunsuke Takagi
We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's summation formula for multiplier ideals to the case of singular varieties, using characte…
Regularizable cycles associated with a Selberg type integral under some resonance condition
Katsuhisa Mimachi, Masaaki Yoshida
We study the twisted homology group attached to a Selberg type integral under some resonance condition, which naturally appears in the su_2-conformal field theory and the represent…