9 citations · 11 across the 3 of their papers we have counts for
3 papers
math.AG2008★ 1 cited
Microlocal study of Lefschetz fixed point formulas for higher-dimensional fixed point sets
Yutaka Matsui, Kiyoshi Takeuchi
We introduce new Lagrangian cycles which encode local contributions of Lefschetz numbers of constructible sheaves into geometric objects. We study their functorial properties and a…
math.AG2008★ 9 cited
Milnor fibers over singular toric varieties and nearby cycle sheaves
Yutaka Matsui, Kiyoshi Takeuchi
We propose a new sheaf-theoretical method for the calculation of the monodromy zeta functions of Milnor fibrations. As an application, classical formulas of Kushnirenko and Varchen…
math.AG2008★ 1 cited
A geometric degree formula for -discriminants and Euler obstructions of toric varieties
Yutaka Matsui, Kiyoshi Takeuchi
We give explicit formulas for the dimensions and the degrees of -discriminant varieties introduced by Gelfand-Kapranov-Zelevinsky. Our formulas can be applied also to the case w…