3 papers
math.NT2025
Galois groups of simple abelian varieties over finite fields and exceptional Tate classes
Santiago Arango-Piñeros, Sam Frengley, Sameera Vemulapalli
We prove new cases of the Tate conjecture for abelian varieties over finite fields, extending previous results of Dupuy--Kedlaya--Zureick-Brown, Lenstra--Zarhin, Tankeev, and Zarhi…
math.AG2024
Brill--Noether theory of smooth curves in the plane and on Hirzebruch surfaces
Hannah Larson, Sameera Vemulapalli
In this paper, we describe the Brill--Noether theory of a general smooth plane curve and a general curve on a Hirzebruch surface of fixed class. It is natural to study the line…
math.CO2022
Sumsets of sequences in abelian groups and flags in field extensions
Sameera Vemulapalli
For a finite abelian group with subsets and , the sumset is . A fundamental problem in additive combinatorics is to find a lower bound…