Juan-Pablo Llerena-C'ordova

collaborators

3 papers

math.NT2026

On periods of Elliptic curves

Daniel Barrera Salazar, Juan-Pablo Llerena-Córdova

Let $E$ be an elliptic curve over $Q$ having split multiplicative reduction at a prime number $p$ . We describe the tame part of the $L$ -invariant of $E$ at $p$ i…

math.AG2026

Galois subspaces for compact Riemann surfaces of genus 2

Juan-Pablo Llerena-Córdova

Let $X$ be a compact Riemann surface of genus 2 and $D$ a very ample divisor with $ϕ_{D}$ its associated embedding into $P^{n}$ . We consider the set $G_{X, D}$ of linear subs…

math.NT2024

Numerical study of refined conjectures of the BSD type

Juan-Pablo Llerena-Córdova

In 1987, Mazur and Tate stated conjectures which, in some cases, resemble the classical Birch-Swinnerton-Dyer conjecture and its $p$ -adic analog. We study experimentally three conj…