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math.AG2021
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…
math.AG2021
-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…
math.AG2021★ 2 cited
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.