Results 1 to 10 of about 214 (64)

Toward Permutation Bases in the Equivariant Cohomology Rings of Regular Semisimple Hessenberg Varieties [PDF]

open access: yesLa Matematica, 2022
Recent work of Shareshian and Wachs, Brosnan and Chow, and Guay-Paquet connects the well-known Stanley–Stembridge conjecture in combinatorics to the dot action of the symmetric group Sn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
M. Harada   +2 more
semanticscholar   +2 more sources

Geometric Batyrev–Manin–Peyre for equivariant compactifications of additive groups [PDF]

open access: yesBeiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021
Building on previous works by Bilu, Chambert-Loir and Loeser, we study the asymptotic behaviour of the moduli space of sections of a given family over a smooth projective curve, assuming that the generic fiber is an equivariant compactification of a ...
Lois Faisant
semanticscholar   +1 more source

Lannes’s T–functor and equivariant Chow rings [PDF]

open access: yesAlgebraic and Geometric Topology, 2019
For $X$ a smooth scheme acted on by a linear algebraic group $G$ and $p$ a prime, the equivariant Chow ring $CH^*_G(X)/p$ is an unstable algebra over the Steenrod algebra. We compute Lannes's $T$-functor applied to $CH^*_G(X)/p$.
David Hemminger
semanticscholar   +1 more source

Riemann-Roch for equivariant Chow groups [PDF]

open access: yes, 1999
The purpose of this paper is to prove an equivariant Riemann-Roch theorem for schemes or algebraic spaces with an action of a linear algebraic group $G$.
D. Edidin, W. Graham
semanticscholar   +1 more source

Equivariant operational Chow rings of $T$-linear schemes [PDF]

open access: yesDocumenta Mathematica, 2013
We study T-linear schemes, a class of objects that in- cludes spherical and Schubert varieties. We provide a localization theorem for the equivariant Chow cohomology of these schemes that does not depend on resolution of singularities.
Richard P. Gonzales
semanticscholar   +1 more source

Equivariant noncommutative motives [PDF]

open access: yes, 2015
Given a finite group G, we develop a theory of G-equivariant noncommutative motives. This theory provides a well-adapted framework for the study of G-schemes, Picard groups of schemes, G-algebras, 2-cocycles, equivariant algebraic K-theory, orbifold ...
Gonçalo Tabuada
semanticscholar   +1 more source

PARABOLIC KAZHDAN–LUSZTIG BASIS, SCHUBERT CLASSES, AND EQUIVARIANT ORIENTED COHOMOLOGY [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2016
We study the equivariant oriented cohomology ring $\mathtt{h}_{T}(G/P)$ of partial flag varieties using the moment map approach. We define the right Hecke action on this cohomology ring, and then prove that the respective Bott–Samelson classes in ...
Cristian Lenart   +2 more
semanticscholar   +1 more source

Rost motives, affine varieties, and classifying spaces [PDF]

open access: yesJournal of the London Mathematical Society, 2015
In this article we investigate ordinary and equivariant Rost motives. We provide an equivariant motivic decomposition of the variety of full flags of a split semisimple algebraic group G over a field, a motivic decomposition of E/B for a G ‐torsor E over
V. Petrov, N. Semenov
semanticscholar   +1 more source

On the Boundary and Intersection Motives of Genus 2 Hilbert-Siegel Varieties [PDF]

open access: yesDocumenta Mathematica, 2018
We study genus 2 Hilbert-Siegel varieties, i.e. Shimura varieties $S_K$ corresponding to the group $\mbox{GSp}_{4,F}$ over a totally real field $F$, along with the relative Chow motives $^\lambda \mathcal{V}$ of abelian type over $S_K$ obtained from ...
M. Cavicchi
semanticscholar   +1 more source

Cdh descent in equivariant homotopy K-theory [PDF]

open access: yes, 2016
We construct geometric models for classifying spaces of linear algebraic groups in G-equivariant motivic homotopy theory, where G is a tame group scheme.
Marc Hoyois
semanticscholar   +1 more source

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