A polynomial generalization of the Euler characteristic for algebraic\n sets

2011/11/15 by Miguel Ángel Marco-Buzunáriz, Marco-Buzunáriz, Miguel A.
Computer Science · Mathematics · #1404 #14F45 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1111.3538

openalex publication_date 2011/11/15 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We present a method to compute the Euler characteristic of an algebraic\nsubset of bcⁿ. This method relies on clasical tools such as Gr "obner basis\nand primary decomposition. The existence of this method allows us to define a\nnew invariant for such varieties. This invariant is related to the poblem of\ncounting rational points over finite fields.\n

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