A polynomial generalization of the Euler characteristic for algebraic sets
Algebraic Geometry
2011-11-16 v1
Abstract
We present a method to compute the Euler characteristic of an algebraic subset of . This method relies on clasical tools such as Gr\"obner 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 poblem of counting rational points over finite fields.
Cite
@article{arxiv.1111.3538,
title = {A polynomial generalization of the Euler characteristic for algebraic sets},
author = {Miguel A. Marco-Buzunáriz},
journal= {arXiv preprint arXiv:1111.3538},
year = {2011}
}