26 citations · 58 across the 21 of their papers we have counts for
23 papers
Remarks on polynomial count varieties
Nicholas M. Katz, Fernando Rodriguez Villegas
In this short note we prove a couple of facts about polynomial count varieties, answering natural questions that they raise. A polynomial count variety is essentially one for w…
An arithmetic intersection for squares of elliptic curves with complex multiplication
Elisa Lorenzo García, Christophe Ritzenthaler, Fernando Rodríguez Villegas
Let be a genus curve with Jacobian isomorphic to the square of an elliptic curve with complex multiplication by a maximal order in an imaginary quadratic field of discrimin…
Hypergeometric local systems over with Hodge vector
Giulia Gugiatti, Fernando Rodriguez Villegas
We consider all irreducible rank-4 hypergeometric local systems defined over that support a rational one-dimensional variation of Hodge structures of weight 3 and Hodg…
of families of elliptic curves over non-Abelian cubic and quartic fields
François Brunault, Rob de Jeu, Hang Liu +1
We give two constructions of families of elliptic curves over cubic or quartic fields with three, respectively four, `integral' elements in the kernel of the tame symbol on the cur…
A Prym Hypergeometric
Alessio Corti, Giulia Gugiatti, Fernando Rodriguez Villegas
We study a hypergeometric local system that arises from the quantum Chen-Ruan cohomology of a family of weighted del Pezzo hypersurfaces. We prove that it is the anti-invariant var…
Hypergeometric Motives
David P. Roberts, Fernando Rodriguez Villegas
Survey of hypergeometric motives, with a focus on their source varieties, Hodge numbers, and L-functions.