Euler characteristic of the space of real multivariate irreducible polynomials

Trevor Hyde

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arXiv · 2011.05572

Euler characteristic of the space of real multivariate irreducible polynomials

Trevor Hyde

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Abstract

We compute the compactly supported Euler characteristic of the space of degree $d$ irreducible polynomials in $n$ variables with real coefficients and show that the values are given by the digits in the so-called balanced binary expansion of the number of variables $n$.

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Trevor Hyde. 2020-11-10. Euler characteristic of the space of real multivariate irreducible polynomials. https://arxiv.org/abs/2011.05572

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