Euler characteristic of the space of real multivariate irreducible polynomials
Algebraic Topology
2020-11-12 v1 Algebraic Geometry
Number Theory
Abstract
We compute the compactly supported Euler characteristic of the space of degree irreducible polynomials in 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 .
Keywords
Cite
@article{arxiv.2011.05572,
title = {Euler characteristic of the space of real multivariate irreducible polynomials},
author = {Trevor Hyde},
journal= {arXiv preprint arXiv:2011.05572},
year = {2020}
}
Comments
11 pages, split and expanded from 1811.08601, comments welcome. arXiv admin note: text overlap with arXiv:1811.08601