Leírás
The Prym map associates to a finite morphism between curves a polarised abelian variety, its Prym variety.
The structure of the Prym map for coverings of degree d>2, unlike for double coverings, is much less understood. In this talk we consider étale cyclic coverings of degree d over hyperelliptic curves of genus g and show that the corresponding Prym map from the moduli space of such coverings into the moduli space of polarised abelian varieties of dimension (d-1)(g-1) with polarisation type (1,…1, d,…,d), is generically injective and even injective if d is not a power of an odd prime.
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https://cs-uni-saarland-de.zoom.us/j/84621173016?pwd=cCr9uaTz6ZFFUXbGX0oCCnga0fkSkw.1
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