A geometric degree formula for A-discriminants and Euler obstructions of toric varieties |
| |
| Authors: | Yutaka Matsui Kiyoshi Takeuchi |
| |
| Affiliation: | aDepartment of Mathematics, Kinki University, 3-4-1, Kowakae, Higashi-Osaka, Osaka, 577-8502, Japan;bInstitute of Mathematics, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki, 305-8571, Japan |
| |
| Abstract: | We give explicit formulas for the dimensions and the degrees of A-discriminant varieties introduced by Gelfand, Kapranov and Zelevinsky. Our formulas can be applied also to the case where the A-discriminant varieties are higher-codimensional and their degrees are described by the geometry of the configurations A. Moreover combinatorial formulas for the Euler obstructions of general (not necessarily normal) toric varieties will be also given. |
| |
| Keywords: | MSC: 14M25 14N05 32S60 33C70 35A27 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
