Hyperelliptic genus 3 curves with involutions and a Prym map

DOI10.1002/mana.202300468MaRDI QIDQ6606942

Paweł Borówka, Anatoli Shatsila

Publication date: 17 September 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curvePrym varietyabelian surfacePrym map

Mathematics Subject Classification ID

Algebraic geometry (14-XX) Differential geometry (53-XX)

Cites Work

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• Non-simple principally polarised abelian varieties
• Idempotent relations and factors of Jacobians
• Decomposition of Jacobians by Prym varieties
• Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3
• Hyperelliptic curves on \((1,4)\)-polarised abelian surfaces
• Variétés de Prym et jacobiennes intermédiaires
• Completely Decomposable Jacobian Varieties in New Genera
• Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization (1,2)
• Large torsion subgroups of split Jacobians of curves of genus two or three
• Klein coverings of genus 2 curves
• Decomposing Jacobians of curves with extra automorphisms
• Riemann Surfaces with Automorphism Groups Admitting Partitions
• Decomposing Jacobians Via Galois covers
• Non-simple polarised abelian surfaces and genus 3 curves with completely decomposable Jacobians

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