Brett Nasserden

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20202026

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math.AG2026

Finite extensions of abelian schemes and duality for commutative group stacks

Ajneet Dhillon, Brett Nasserden

Let $R$ be a discrete valuation ring. We prove that every proper flat finitely presented commutative $R$ -group scheme $P$ fits into an exact sequence \[ 0\longrightarrow E\longrigh…

math.AG2023

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 $A$ has a dual…

math.AG2020

Effective Eigendivisors and the Kawaguchi-Silverman Conjecture

Brett Nasserden

Let $f : X \to X$ be a surjective endomorphism of a normal projective variety defined over a number field. The dynamics of $f$ may be studied through the dynamics of the…