6 papers · 1 filter
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…
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…