Spaces of real polynomials with common roots

Details Spaces of real polynomials with common roots Spaces of real polynomials with common roots

2009-03-26

arxiv.org/abs/0903.4597v1

Geom. Topol. Monogr. 10 (2007) 227-235

Mathematics

Algebraic Topology

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

Scientific paper

10.2140/gtm.2007.10.227

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.

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