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University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Prym varieties of triple coverings

## Prym varieties of triple coveringsAdd to your list(s) Download to your calendar using vCal - Angela Ortega (Humboldt, Berlin)
- Thursday 24 March 2011, 14:00-15:00
- Isaac Newton Institute, Cambridge.
If you have a question about this talk, please contact Burt Totaro. Classical Prym varieties are principally polarised abelian varieties
associated to etale double coverings of curves. We study a special
class of Prym-Tjurin varieties of exponent 3, coming from non-cyclic
etale triple coverings of curves of genus 2. We show that the moduli
space of such coverings is a rational threefold, mapping 10:1 via the
Prym map to the moduli space of principally polarised abelian surfaces.
The crucial ingredient used to obtain such an explicit description of
the moduli space is that any genus 4 curve which is a non-cyclic triple
cover of a genus 2 curve is actually hyperelliptic.
We also describe the extended Prym map from the moduli space of This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
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