Á. Carocca

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math.AG2025

The locus of Riemann surfaces of genus $2 (p - 1)$ with $4 p$ automorphisms

Angel Carocca, SebastiÃ¡n Reyes-Carocca

Let $p ⩾ 5$ be a prime number. In this article we provide a complete and explicit description of the locus formed by the compact Riemann surfaces of genus $2 (p - 1)$ that are…

math.AG2024

Counting polarizations on abelian varieties with group action

Robert Auffarth, Angel Carocca, RubÃ E. RodrÃguez

Let $A_{g}$ be the moduli space of principally polarized abelian varieties. We study the problem of counting the number of principal polarizations modulo the natural action…

The locus of Riemann surfaces of genus 2(p−1) with 4p automorphisms

Counting polarizations on abelian varieties with group action

The locus of Riemann surfaces of genus $2 (p - 1)$ with $4 p$ automorphisms