activity
20142026
most citedCategorical Milnor squares and K-theory of algebraic stacks

8 citations · 19 across the 11 of their papers we have counts for

collaborators

13 papers

math.AG2026

Local multiplicities for an equivariantly enriched non-transverse Bézout's theorem

Candace Bethea, Charanya Ravi

We introduce the degree and local degree in equivariant motivic homotopy theory for the purpose of studying equivariant enumerative problems over general fields. Given a finite, ta…

math.AG2024

The stacky concentration theorem

Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev +2

We give a sufficient criterion for the Chow or algebraic bordism groups of an algebraic stack, localized at a set of Chern classes of line bundles, to be concentrated in some close…

math.AG2023

Cohomological and categorical concentration

Adeel A. Khan, Charanya Ravi

Given a torus action on a compact space X, a fundamental result of Borel and Atiyah-Segal asserts that the equivariant cohomology of X is concentrated in the fixed locus X^T, up to…

math.AG2022★ 1 cited

Equivariant generalized cohomology via stacks

Adeel A. Khan, Charanya Ravi

We prove a general form of the statement that the cohomology of a quotient stack can be computed by the Borel construction. It also applies to the lisse extensions of generalized c…

math.AG2022

Virtual localization revisited

Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev +2

Let be a split torus acting on an algebraic scheme with fixed locus . Edidin and Graham showed that on localized -equivariant Chow groups, (a) push-forward alon…

math.AG2021★ 4 cited

Generalized cohomology theories for algebraic stacks

Adeel A. Khan, Charanya Ravi

We extend the stable motivic homotopy category of Voevodsky to the class of scalloped algebraic stacks, and show that it admits the formalism of Grothendieck's six operations. Obje…

math.AG2020★ 8 cited

Categorical Milnor squares and K-theory of algebraic stacks

Tom Bachmann, Adeel A. Khan, Charanya Ravi +1

We introduce a notion of Milnor square of stable -categories and prove a criterion under which algebraic K-theory sends such a square to a cartesian square of spectra. We a…

math.AG2020

Virtual equivariant Grothendieck-Riemann-Roch formula

Charanya Ravi, Bhamidi Sreedhar

For a -scheme with a given equivariant perfect obstruction theory, we prove a virtual equivariant Grothendieck-Riemann-Roch formula, this is an extension of a result of Fant…

math.KT2019★ 1 cited

Rigidity in equivariant algebraic -theory

Niko Naumann, Charanya Ravi

If is a henselian pair with an action of a finite group and is an integer coprime to and such that , then the reduction map of mod-…

math.AG2018★ 3 cited

Rigidity for equivariant pseudo pretheories

Jeremiah Heller, Charanya Ravi, Paul Arne Østvær

We prove versions of the Suslin and Gabber rigidity theorems in the setting of equivariant pseudo pretheories of smooth schemes over a field with an action of a finite group. Examp…

math.AG2017

A Grothendieck-Lefschetz theorem for equivariant Picard groups

Charanya Ravi

We prove a Grothendieck-Lefschetz theorem for equivariant Picard groups of non-singular varieties with finite group actions.

math.AG2015

Algebraic K-theory of quotient stacks

Amalendu Krishna, Charanya Ravi

We prove some fundamental results like localization, excision, Nisnevich descent and the Mayer-Vietoris property for equivariant regular blow-up for the equivariant K-theory of sch…

math.AG2014★ 2 cited

Equivariant vector bundles, their derived category and -theory on affine schemes

Amalendu Krishna, Charanya Ravi

Let be an affine group scheme over a noetherian commutative ring . We show that every -equivariant vector bundle on an affine toric scheme over with -action is ext…