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Non-simple principally polarised abelian varieties
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Non-simple principally polarised abelian varieties
Bibliographic description
| title: | Non-simple principally polarised abelian varieties |
| author: | Borówka Paweł 
|
| Journal title: | Annali di Matematica Pura ed Applicata |
| volume: | 195 |
| issue: | 5 |
| date of publication: | 2016 |
| pages: | 1531-1549 |
| ISSN: |
0373-3114 |
| eISSN: |
1618-1891 |
| DOI: | |
| language: | English |
| Journal language: | English |
| abstract in english: | The paper investigates the locus of non-simple principally polarised abelian g-folds. We show that the irreducible components of this locus are IsgD, defined as the locus of principally polarised g-folds having an abelian subvariety with restricted polarisation of type D=(d1,…,dk), where k≤g2. The main theorem produces Humbert-like equations for irreducible components of IsgD for any g and D. Moreover, there are theorems which characterise the Jacobians of curves that are étale double covers or double covers branched in two or four points. |
| keywords in english: | non-simple abelian varieties, equations in the Siegel space, Humbert locus, Prym–Tyurin varieties |
| affiliation: | Wydział Matematyki i Informatyki : Instytut Matematyki |
| type: | journal article |
| subtype: | academic paper |
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