2 citations · 3 across the 6 of their papers we have counts for
6 papers
-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…
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…
-connectivity of moduli of vector bundles on a curve
Amit Hogadi, Suraj Yadav
In this note we prove that the moduli stack of vector bundles on a curve, with a fixed determinant is -connected. We obtain this result by classifying vector bundles…
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.
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.