The homotopy type of spaces of coprime polynomials revisited

DOI10.1016/j.topol.2016.03.033zbMath1387.55012arXiv1405.0662OpenAlexW2962951537WikidataQ125917057 ScholiaQ125917057MaRDI QIDQ281739

Andrzej Kozlowski, Kohhei Yamaguchi

Publication date: 11 May 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0662

zbMATH Keywords

toric varietyfanhomotopy equivalenceholomorphic mappolyhedral productcoordinate subspaceprimitive generatorsimplicial resolutionVassiliev spectral sequence

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Homotopy equivalences in algebraic topology (55P10) Loop spaces (55P35) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Related Items

The homotopy type of spaces of resultants of bounded multiplicity ⋮ Spaces of non-resultant systems of bounded multiplicity determined by a toric variety ⋮ The homotopy type of spaces of rational curves on a toric variety ⋮ The homotopy type of the space of algebraic loops on a toric variety

Cites Work

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• Spaces of algebraic maps from real projective spaces to toric varieties
• Spaces of rational maps and the Stone-Weierstrass theorem
• Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces
• The topology of spaces of rational functions
• The double suspension and exponents of the homotopy groups of spheres
• The topology of rational functions and divisors of surfaces
• The topology of the space of rational curves on a toric variety. - Appendix 1: \(\pi_ 0 Q^ X_ D\) and \(\pi_ 1Q^ X_ D\). -Appendix 2: Representation of holomorphic maps by polynomials
• The topology of spaces of coprime polynomials
• The functor of a smooth toric variety
• Simplicial resolutions and spaces of algebraic maps between real projective spaces
• Spaces of Morphisms From a Projective Space to a Toric Variety
• SPACES OF ALGEBRAIC AND CONTINUOUS MAPS BETWEEN REAL ALGEBRAIC VARIETIES
• TRUNCATED SIMPLICIAL RESOLUTIONS AND SPACES OF RATIONAL MAPS
• ON THE SPACE OF HOLOMORPHIC MAPS FROM THE RIEMANN SPHERE TO THE QUADRIC CONE
• A Stable Decomposition of ω ^N Sⁿ X