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math.AG2023
A note on dual abelian varieties
Aleksandra Borówka, Paweł Borówka
For any non-principal polarisation , we explicitly construct -polarised abelian variety , such that its dual abelian variety is not (abstractly) isomorphic to . For $\d…
math.AG2023★ 1 cited
Involutions on hyperelliptic curves and Prym maps
Paweł Borówka, Angela Ortega
We investigate the geometry of smooth hyperelliptic curves that possess additional involutions, especially from the point of view of the Prym theory. Our main result is the injecti…