2 papers
math.NT2026
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…
math.NT2024
An arithmetic intersection for squares of elliptic curves with complex multiplication
Elisa Lorenzo GarcÃa, Christophe Ritzenthaler, Fernando RodrÃguez 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…