36 citations · 134 across the 27 of their papers we have counts for
5 papers · 1 filter
Local opers with two singularities: the case of
Giorgia Fortuna, Davide Lombardo, Andrea Maffei +1
We study local opers with two singularities for the case of the Lie algebra sl(2), and discuss their connection with a two-variables extension of the affine Lie algebra. We prove a…
On the distribution of rational points on ramified covers of abelian varieties
Pietro Corvaja, Julian Lawrence Demeio, Ariyan Javanpeykar +2
We prove new results on the distribution of rational points on ramified covers of abelian varieties over finitely generated fields of characteristic zero. For example, given a…
Cohomology of groups acting on vector spaces over finite fields
Davide Lombardo, Laura Paladino
Let be the finite field with elements and be a subgroup of . A famous theorem of Nori published in 1987 states that there…
How far is an extension of -adic fields from having a normal integral basis?
Ilaria Del Corso, Fabio Ferri, Davide Lombardo
Let be a finite Galois extension of -adic fields with group . It is well-known that contains a free -submodule of finite index. We stu…
Decomposing Jacobians via Galois covers
Davide Lombardo, Elisa Lorenzo García, Christophe Ritzenthaler +1
Let be a (possibly ramified) cover between two algebraic curves of positive genus. We develop tools that may identify the Prym variety of , up to isogeny, a…