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arXiv · 1405.0662

The homotopy type of spaces of coprime polynomials revisited

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 $\C^n$, and to improve the homotopy stability dimension for the inclusion map $i_d:\Hol_d^*(S^2,X_I)\to \Map_d^*(S^2,X_I)$ given in \cite{GKY1} by using spectral sequences induced from simplicial resolutions.

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BibTeXRIS

Andrzej Kozlowski, Kohhei Yamaguchi. 2014-05-04. The homotopy type of spaces of coprime polynomials revisited. https://arxiv.org/abs/1405.0662

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