4 papers · 1 filter
Klein coverings over hyperelliptic genus 3 curves
Paweł Borówka, Angela Ortega
We characterize the moduli space of étale Klein coverings (i.e. Galois with deck group ) of hyperelliptic curves of genus 3. We prove that the Prym map on each comp…
Linear stability and rank two Clifford indices of algebraic curves with applications
Ali Bajravani, Angela Ortega
We prove that any vector bundle computing the rank-two Clifford index of a smooth projective algebraic curve is linearly semistable. We also identify conditions under which such bu…
Simplicity of some Jacobians with many automorphisms
J. C. Naranjo, A. Ortega, G. P. Pirola +1
We study an explicit -dimensional family of Jacobian varieties of dimension , arising from quotient curves of unramified cyclic coverings of prime degree…
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…