A polynomial generalization of the Euler characteristic for algebraic sets

Marco Buzunariz, Miguel Angel

Resumen: We present a method to compute the Euler characteristic of an algebraic subset of C^n. This method relies on classical tools such as Gröbner basis and primary decomposition. The existence of this method allows us to define a new invariant for such varieties. This invariant is related to the problem of counting rational points over finite fields. In an appendix, Jørgen Vold Rennemo proves the relation between this invariant and the Chern-Schwartz-MacPherson class of the variety.

Idioma: Inglés

DOI: 10.5427/jsing.2012.4g

Año: 2012

Publicado en: Journal of singularities 4 (2012), 114-130
ISSN: 1949-2006

Tipo y forma: Artículo (Versión definitiva)