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arXiv · 1111.3538

A polynomial generalization of the Euler characteristic for algebraic sets

Miguel A. Marco-Buzunáriz
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Abstract

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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Miguel A. Marco-Buzunáriz. 2011-11-15. A polynomial generalization of the Euler characteristic for algebraic sets. https://arxiv.org/abs/1111.3538

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