Verra: Problemi di razionalità ed unirazionalità in geometria algebrica

Verra, Alessandro:
Problemi di razionalità ed unirazionalità in geometria algebrica
Bollettino dell'Unione Matematica Italiana Serie 8 8-B (2005), fasc. n.1, p. 77-102, Unione Matematica Italiana (Italian)
pdf (289 Kb), djvu (321 Kb). | MR2122976 | Zbl 1182.14055

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Il presente articolo è una versione allargata della omonima conferenza tenuta a Milano durante il XVII convegno nazionale UMI nel settembre 2003. L'articolo ha come abiettivo principale quello di presentare una introduzione, il più possibile elementare, ai problemi di razionalità/unirazionalità in geometria algebrica. Avendo come punto di riferimento l'esempio delle ipersuperfici dello spazio proiettivo complesso, in particolare le ipersuperfici cubiche, vengono presentati temi classici e problemi più recenti riguardanti le varietà razionalmente connesse e le famiglie di curve razionali in esse contenute.

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Referenze Bibliografiche