3 papers
math.AG2026
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…
math.AG2025
Spectrum of equivariant cohomology as a fixed point scheme
Tamás Hausel, 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…
math.AG2024
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…