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Non-simple principally polarised abelian varieties

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Publication:325937
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DOI10.1007/s10231-015-0527-6zbMath1353.14055arXiv1307.6591OpenAlexW3099503707WikidataQ59473641 ScholiaQ59473641MaRDI QIDQ325937

Paweł Borówka

Publication date: 11 October 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6591


zbMATH Keywords

equations in the Siegel spaceHumbert locusnon-simple abelian varietiesPrym-Tyurin varieties


Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Subvarieties of abelian varieties (14K12)


Related Items (3)

A criterion for an abelian variety to be non-simple ⋮ Hyperelliptic genus 4 curves on abelian surfaces ⋮ Klein coverings of genus 2 curves



Cites Work

  • Siegel coordinates and moduli spaces for morphisms of abelian varieties
  • On abelian varieties the theta divisor of which is singular in codimension 3
  • Prym varieties associated with \(n\)-cyclic coverings of a hyperelliptic curve
  • Humbert surfaces and the Kummer plane
  • Surfaces of general type with 𝑝_{𝑔}=𝑞=1,𝐾²=8 and bicanonical map of degree 2
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