16 citations · 42 across the 10 of their papers we have counts for
11 papers
Rationality of varieties and -homotopy theory
Utsav Choudhury, Biman Roy
In this article, we present the results relating different rationality properties with -homotopy theoretic invariants.
-fibration in algebraic geometry and -homotopy type
Utsav Choudhury, Aritra Mandal, Biman Roy
In this article we show that an bundle map or a vector bundle map induces trivial local fibration . Using t…
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…
-homotopy type of
Utsav Choudhury, Biman Roy
In this article we prove that any -connected smooth -variety is -uniruled for any algebraically closed field . We establish that if a non empty op…
-connected components and characterisation of
Utsav Choudhury, Biman Roy
In this article we prove that any -contractible smooth complex surface is isomorphic as a variety to . We show that the -connected compone…
The Hurewicz map in motivic homotopy theory
Utsav Choudhury, Amit Hogadi
For an $\A^1$-connected pointed simplicial sheaf $\sX$ over a perfect field , we prove that the Hurewicz map $π_1^{\A^1}(\sX) \to H_1^{\A^1}(\sX)$ is surjective. We also observe…
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…
Homotopy theory of dg sheaves
Utsav Choudhury, Martin Gallauer
In this note we study the local projective model structure on presheaves of complexes on a site, i.e. we describe its classes of cofibrations, fibrations and weak equivalences. In…
An isomorphism of motivic Galois groups
Utsav Choudhury, Martin Gallauer
In characteristic 0 there are essentially two approaches to the conjectural theory of mixed motives, one due to Nori and the other one due to, independently, Hanamura, Levine, and…
On a conjecture of Morel
Utsav Choudhury
In this note we prove that the -connected component sheaf of an -group is -invariant.
Motives of Deligne-Mumford Stacks
Utsav Choudhury
For every smooth and separated Deligne-Mumford stack , we associate a motive in Voevodsky's category of mixed motives with rational coefficients $\mathbf{DM}^{\eff}(k,\ma…