4 papers · 1 filter
Variations on cohomology rings and zero schemes
Kamil Rychlewicz
We extend the theorem of Hausel and the author from arXiv:2212.11836 that relates equivariant cohomology rings and algebras of functions on zero schemes. This paper combines three…
Equivariant cohomology and rings of functions
Kamil Rychlewicz
This submission is a PhD dissertation. It constitutes the summary of the author's work concerning the relations between cohomology rings of algebraic varieties and rings of functio…
Spectrum of equivariant cohomology as a fixed point scheme
Tamás Hausel, Kamil Rychlewicz
An action of a complex reductive group on a smooth projective variety is regular when all regular unipotent elements in act with finitely many fixed poi…
The positivity of local equivariant Hirzebruch class for toric varieties
Kamil Rychlewicz
The central object of investigation of this paper is the Hirzebruch class, a deformation of the Todd class, given by Hirzebruch (for smooth varieties) in his celebrated book "Topol…