9 citations · 31 across the 8 of their papers we have counts for
8 papers
Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets
Yuichi Ike, Yutaka Matsui, Kiyoshi Takeuchi
We study Lefschetz fixed point formulas for constructible sheaves with higher-dimensional fixed point sets. Under fairly weak assumptions, we prove that the local contributions fro…
On the sizes of the Jordan blocks of monodromies at infinity
Yutaka Matsui, Kiyoshi Takeuchi
We obtain general upper bounds of the sizes and the numbers of Jordan blocks for the eigenvalues in the monodromies at infinity of polynomial maps.
Motivic Milnor fibers and Jordan normal forms of Milnor monodromies
Yutaka Matsui, Kiyoshi Takeuchi
By calculating the equivariant mixed Hodge numbers of motivic Milnor fibers introduced by Denef-Loeser, we obtain explicit formulas for the Jordan normal forms of Milnor monodromie…
Monodromy at infinity of polynomial maps and Newton polyhedra (with Appendix by C. Sabbah)
Yutaka Matsui, Kiyoshi Takeuchi
By introducing motivic Milnor fibers at infinity of polynomial maps, we propose some methods for the study of nilpotent parts of monodromies at infinity. The numbers of Jordan bloc…
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…
Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves
Yutaka Matsui, Kiyoshi Takeuchi
By using sheaf-theoretical methods such as constructible sheaves, we generalize the formula of Libgober-Sperber concerning the zeta functions of monodromy at infinity of polynomial…