A polynomial generalization of the Euler characteristic for algebraic sets

Details A polynomial generalization of the Euler characteristic for algebraic sets A polynomial generalization of the Euler characteristic for algebraic sets

2011-11-15

arxiv.org/abs/1111.3538v1

Mathematics

Algebraic Geometry

Scientific paper

We present a method to compute the Euler characteristic of an algebraic
subset of $\bc^n$. 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.

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