1 citations · 3 across the 14 of their papers we have counts for
3 papers · 2 filters
Unit lattices of -quartic number fields with signature
Sergio Ricardo Zapata Ceballos, Sara Chari, Erik Holmes +5
There has been a recent surge of interest on distributions of shapes of unit lattices in number fields, due to both their applications to number theory and the lack of known result…
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…
Shapes of unit lattices in -number fields
Robert Harron, Erik Holmes, Sameera Vemulapalli
The unit group of the ring of integers of a number field, modulo torsion, is a lattice via the logarithmic Minkowski embedding. We examine the shape of this lattice, which we call…