English

Spaces of real polynomials with common roots

Algebraic Topology 2009-03-27 v1

Abstract

Let RX_{k,n}^l be the space consisting of all (n+1)-tuples (p_0(z),...,p_n(z)) of monic polynomials over R of degree k and such that there are at most l roots common to all p_i(z). In this paper, we prove a stable splitting of RX_{k,n}^l.

Keywords

Cite

@article{arxiv.0903.4597,
  title  = {Spaces of real polynomials with common roots},
  author = {Yasuhiko Kamiyama},
  journal= {arXiv preprint arXiv:0903.4597},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology Monographs on 29 January 2007

R2 v1 2026-06-21T12:44:51.912Z