Topology of complements of discriminants and resultants

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概要

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• In this paper, we classify the homotopy types of spaces of monic polynomials which have no n-fold real roots or spaces of n-tuples of monic polynomials which have no common real roots, by using the"scanning method"([{9}]) and Vassiliev's spectral sequence ([{15}], [{16}]). In particular, we show that such spaces are finite dimensional models for the infinite dimensional loop space of spheres.

• 一般社団法人 日本数学会の論文

著者

• Yamaguchi Kohhei

  Department Of Computer Science And Information Mathematics University Of Electro-communications

• Yamaguchi Kohhei

  Department Of Mathematics University Of Electro-communications

• KOZLOWSKI Andrzej

  Department of Mathematics Toyama International University

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