vix.ing · top · new · best · stats · spec

Families of singular algebraic varieties that are rationally elliptic spaces

2025/01/29 by Libgober, A.
#Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.17970

Abstract

We describe families of hypersurfaces with isolated singularities in projective space for which the sum of the ranks of the rational homotopy groups is finite. They have the real homotopy type of either projective space or a smooth quadric.

Related