The homotopy type of spaces of coprime polynomials revisited

2014/05/04 by Andrzej Kozłowski, Kozlowski, Andrzej, Kohhei Yamaguchi +1
Mathematics · #55P10 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1405.0662

openalex publication_date 2014/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to study the topology of certain toric varieties X_I, arising as quotients of the action of \C^* on complements of arrangements of coordinate subspaces in \Cⁿ, and to improve the homotopy stability dimension for the inclusion map i_d:\Hol_d^*(S²,X_I)→ \Map_d^*(S²,X_I) given in \citeGKY1 by using spectral sequences induced from simplicial resolutions.

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