Hidalgo-Solís, Recillas-Pishmish: The fibre of the Prym map in genus four

Hidalgo-Solís, Laura and Recillas-Pishmish, Sevin:
The fibre of the Prym map in genus four
Bollettino dell'Unione Matematica Italiana Serie 8 2-B (1999), fasc. n.1, p. 219-229, Unione Matematica Italiana (English)
pdf (259 Kb), djvu (161 Kb). | MR1794551 | Zbl 0945.14016

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In questa nota si dà una descrizione della fibra della mappa di Prym in genere 4. Se $JX$ è la Jacobiana di una curva di genere 3, allora la fibra della mappa di Prym in $JX$ si ottiene dalla varietà di Kummer $KX$ mediante due scoppiamenti: $\sigma_{1} : KX(0) \to KX$ che è lo scoppiamento di $KX$ nell'origine e $\sigma_{2} : \widetilde{KX(0)} \to KX(0)$ che è lo scoppiamento lungo una curva isomorfa a $X$.

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Referenze Bibliografiche