J. C. Naranjo

collaborators

4 papers

math.AG2024

Pseudoreflections on Prym Varieties

Robert Auffarth, Martí Lahoz, Juan Carlos Naranjo

We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudor…

math.AG2024

Simplicity of some Jacobians with many automorphisms

J. C. Naranjo, A. Ortega, G. P. Pirola +1

We study an explicit $(2 g - 1)$ -dimensional family of Jacobian varieties of dimension $\frac{d - 1}{2} (g - 1)$ , arising from quotient curves of unramified cyclic coverings of prime degree…

math.AG2024

Monodromy of the Prym map and semicanonical pencils in genus 6

Martí Lahoz, Juan Carlos Naranjo, Andrés Rojas +1

The Prym map $P_{6}$ in genus 6 is dominant and generically finite of degree 27. When restricted to the divisor of curves with an odd semicanonical pencil $T_{6}^{o}$ …

math.AG2023

Cyclic Coverings of genus 2 curves of Sophie Germain type

J. C. Naranjo, A. Ortega, I. Spelta

We consider cyclic unramified coverings of degree d of irreducible complex smooth genus 2 curves and their corresponding Prym varieties. They provide natural examples of polarized…