Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique

Angela Ortega Ortega

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Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique

Angela Ortega Ortega

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Abstract

Let H a hyperelliptic curve and let f: C --> H be a cyclic etale covering of degree n, associated to a line bundle in Pic^0 (H) of order n . We prove that the Prym variety P=Prym(C / H) is isomorphic, as abelian varieties, to a product of jacobians when n is not divisible by 4.

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BibTeX RIS

Angela Ortega Ortega. 2003-07-10. Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique. https://arxiv.org/abs/math/0307151

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