COMPACTIFICATION OF THE PRYM MAP FOR NON-CYCLIC TRIPLE COVERINGS
2013 ◽
Vol 24
(03)
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pp. 1350015
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Keyword(s):
Genus 2
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According to [H. Lange and A. Ortega, Prym varieties of triple coverings, Int. Math. Res. Notices2011(22) (2011) 5045–5075], the Prym variety of any non-cyclic étale triple cover f : Y → X of a smooth curve X of genus 2 is a Jacobian variety of dimension 2. This gives a map from the moduli space of such covers to the moduli space of Jacobian varieties of dimension 2. We extend this map to a proper map Pr of a moduli space [Formula: see text] of admissible S3-covers of genus 7 to the moduli space [Formula: see text] of principally polarized abelian surfaces. The main result is that [Formula: see text] is finite surjective of degree 10.
2018 ◽
Vol 482
(4)
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pp. 385-388
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Keyword(s):
1982 ◽
Vol 88
◽
pp. 197-212
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Keyword(s):
2011 ◽
Vol 131
(5)
◽
pp. 936-958
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1993 ◽
Vol 114
(3)
◽
pp. 461-470
Keyword(s):
Keyword(s):