A Numerical Approach for Computing Euler Characteristics of Affine Varieties

Autor: Li, Xiaxin, Rodriguez, Jose Israel, Wang, Botong
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematical Software – ICMS 2020
Popis: We develop a numerical nonlinear algebra approach for computing the Euler characteristic of an affine variety. Our approach is to relate Euler characteristics of a smooth affine variety with the number of critical points using Morse theory. In general, we stratify a variety into the union of smooth affine varieties to obtain results on singular varieties.
Databáze: OpenAIRE