4 papers
Tschirnhausen bundles of sextic covers of
Sam Frengley, Sameera Vemulapalli
A degree genus cover of the complex projective line by a smooth irreducible curve yields a vector bundle on the projective line by pushforward of the structure sheaf. W…
Tschirnhausen Bundles of Quintic Covers of
Sam Frengley, Sameera Vemulapalli
A degree genus cover of the complex projective line by a smooth irreducible curve yields a vector bundle on the projective line by pushforward of the structure sheaf. W…
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…
On the geometry of the Humbert surface of square discriminant
Sam Frengley
For every positive integer we determine the Enriques--Kodaira type of the Humbert surface of discriminant which parametrises principally polarised abelian surfaces that a…