3 citations · 23 across the 23 of their papers we have counts for
27 papers · 1 filter
Finite extensions of abelian schemes and duality for commutative group stacks
Ajneet Dhillon, Brett Nasserden
Let be a discrete valuation ring. We prove that every proper flat finitely presented commutative -group scheme fits into an exact sequence \[ 0\longrightarrow E\longrigh…
On the essential dimension of symplectic vector bundles over curves
Ajneet Dhillon, Sayantan Roy Chowdhury
Let be a smooth geometrically connected projective curve of genus at least 2 over a field of characteristic zero. We compute the essential dimension of the moduli stack of symp…
Semiorthogonal decompositions for generalized Severi-Brauer schemes
Ajneet Dhillon, Sayantan Roy Chowdhury
The purpose of this paper is to use conservative descent to study semi-orthogonal decompositions for some homogeneous varieties over general bases. We produce a semi-orthogonal dec…
Mukai Duality for abelian stacks
Ajneet Dhillon, Brett Nasserden
An abelian stack is a stacky generalization of an abelian variety that was introduced by Brochard. Just as an abelian variety has a dual, an abelian stack has a dual…
A homotopical Skolem--Noether theorem
Ajneet Dhillon, Pál Zsámboki
The classical Skolem--Noether Theorem [Giraud, 71] shows us (1) how we can assign to an Azumaya algebra on a scheme a cohomological Brauer class in and…
On the essential (p)-dimension of parabolic bundles on a curve
Ajneet Dhillon, Dinesh Valluri
We study the essential dimension and essential p-dimension of the moduli stack of vector bundles over a smooth orbifold curve containing a rational point. We improve the known boun…