5 citations · 23 across the 29 of their papers we have counts for
32 papers
Zero cycles on Severi--Brauer flag varieties
Divyasree C-Ramachandran, Amit Hogadi
Let \(A\) be a central simple algebra over a field \(F\) with index \(n\) and let \(\mathrm{SB}_r(A)\) denote the \(r\)-th generalized Severi--Brauer variety associated with \(A\).…
Transfers on -connected components of quasi-split groups and the norm principle
Amit Hogadi, Anand Sawant
We show that the sheaf of -connected components of a quasi-split group over a perfect field is a strictly -invariant sheaf with (Voevodsky) transfers. As…
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…
Non-finite type étale sites over fields
Sujeet Dhamore, Amit Hogadi, Rakesh Pawar
We consider the notion of finite type-ness of a site introduced by Morel and Voevodsky, for the étale site of a field. For a given field , we conjecture that the étale site of $…
Strong -invariance of -connected components of reductive algebraic groups
Chetan Balwe, Amit Hogadi, Anand Sawant
We show that the sheaf of -connected components of a reductive algebraic group over a perfect field is strongly -invariant. As a consequence, torsors unde…
Milnor-Witt cycle modules over an excellent DVR
Chetan Balwe, Amit Hogadi, Rakesh Pawar
The definition of Milnor-Witt cycle modules in [Feld, N., Milnor-Witt cycle modules, Journal of Pure and Applied Algebra 224 (2020) 106298] can easily be adapted over general regul…