3 citations · 6 across the 9 of their papers we have counts for
10 papers
The Morel-Voevodsky Construction over Algebraic Stacks
Neeraj Deshmukh, Felix Sefzig
In this article, we give a construction of the (un-)stable motivic homotopy category of an algebraic stack in the spirit of Morel-Voevodsky. We prove that this new construction agr…
A Motivic Riemann-Roch Theorem for Deligne-Mumford Stacks
Utsav Choudhury, Neeraj Deshmukh, Amit Hogadi
We develop a motivic cohomology theory, representable in the Voevodsky's triangulated category of motives, for smooth separated Deligne-Mumford stacks and show that the resulting h…
-connected stacky curves and the Brauer group of moduli of elliptic curves
Neeraj Deshmukh, Suraj Yadav
Given a smooth scheme X with an action by an affine algebraic group G, we give a formula to compute the Nisnevich sheaf of the motivic connected components of the quotient stack [X…
On the Motivic Homotopy Type of Algebraic Stacks
Neeraj Deshmukh, Jack Hall
We construct smooth presentations of algebraic stacks that are local epimorphisms in the Morel-Voevodsky -homotopy category. As a consequence we show that the motive…
Grothendieck-Serre Conjecture for Quasi-split Reductive Groups
Neeraj Deshmukh, Amit Hogadi, Suraj Yadav
We prove the Grothendieck-Serre conjecture for quasi-split reductive groups schemes. Our method involves reducing to the Borel subgroup in order to conclude the result from purity…
Nisnevich local Good compactifications
Neeraj Deshmukh, Amit Hogadi, Girish Kulkarni +1
For a local complete intersection morphism, we establish fiberwise denseness in the -dimensional irreducible components of the compactification Nisnevich locally.
The Nisnevich Motive of an Algebraic Stack
Utsav Choudhury, Neeraj Deshmukh, Amit Hogadi
We construct the motive of an algebraic stack in the Nisnevich topology. For stacks which are Nisnevich locally quotient stacks, we give a presentation of the motive in terms of si…
A Nisnevich Local Bloch-Ogus Theorem over a General Base
Neeraj Deshmukh, Girish Kulkarni, Suraj Yadav
We prove the exactness of the Nisnevich Gersten complex over a base under some conditions. We also obtain, as a consequence, a Nisnevich analogue of the Bloch-Ogus theorem for étal…
Gabber presentation lemma over noetherian domains
Neeraj Deshmukh, Amit Hogadi, Girish Kulkarni +1
Following Schmidt and Strunk, we give a proof of Gabber presentation lemma over a noetherian domain with infinite residue fields.
Quasi-affineness and the 1-Resolution Property
Neeraj Deshmukh, Amit Hogadi, Siddharth Mathur
We prove that, under mild hypothesis, every normal algebraic space which satisfies the -resolution property is quasi-affine. More generally, we show that for algebraic stacks sa…