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Currently displaying 1 – 3 of 3

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Ipersuperficie quartiche unirazionali

Marina Rosanna Marchisio — 2000

Bollettino dell'Unione Matematica Italiana

Unirational quartic hypersurfaces

Marina Rosanna Marchisio — 2000

Bollettino dell'Unione Matematica Italiana

Dopo aver ricordato i principali risultati concernenti l'unirazionalità dell'ipersuperficie quartica generale $X_{4}$ di $P^{n}$ (definita su un corpo K qualsiasi) si illustra la costruzione geometrica che permette di provare l'esistenza di una superficie razionale in ogni $X_{4}$ di $P^{n}$ , con $n \geq 4$ , e di trovare altri esempi di ipersuperficie quartiche lisce che sono unirazionali oltre a quello dato da B. Segre nel 1960. Si mostra poi come l'analisi delle superficie quartiche monoidali (cioè contenenti un punto triplo...

Abelian surfaces and products of elliptic curves

Marina Rosanna Marchisio — 1998

Bollettino dell'Unione Matematica Italiana

Si dà una nuova e completa dimostrazione del risultato cruciale del metodo di Ruppert che consente di stabilire in maniera effettiva quando una superficie abeliana è isomorfa o isogena a un prodotto di curve ellittiche.

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