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arXiv · 0903.4597

Spaces of real polynomials with common roots

Yasuhiko Kamiyama
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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.

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Yasuhiko Kamiyama. 2009-03-26. Spaces of real polynomials with common roots. https://doi.org/10.2140/gtm.2007.10.227

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