3 papers
math.AG2024
Grothendieck group of the stack of G-Zips
Simon Cooper
Given a connected reductive group G over the finite field of order p and a cocharacter of G over the algebraic closure of the finite field, we can define G-Zips. The collection of…
math.AG2024
Pushforward of Siegel flag varieties in the Chow ring
Simon Cooper
Given a reductive group, choice of maximal torus and Borel subgroup, and two subsets of the simple roots, one obtains a closed embedding of sub flag varieties. In this paper we com…
math.AG2024
Hodge-Chern classes and strata-effectivity in tautological rings
Simon Cooper, Wushi Goldring
Given a connected, reductive -group , a cocharacter and a smooth zip period map $ζ:X \to \mathop{\text{$G$-{\tt Zip}}}\nolimits^μ$, we study which cl…