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EnglishRecent results of Hassett, Kuznetsov and others pointed out countably many divisors in the open subset of parametrizing all cubic 4-folds and lead to the conjecture that the cubics corresponding to these divisors should be precisely the rational ones. Rationality has been proved by Fano for the first divisor, in [RS19a] for the divisors and, and in [RS19b] for. In this note we describe explicit birational maps from a general cubic fourfold in to P4, providing concrete geometric realizations of the more abstract constructions in [RS19a] and of the theoretical framework developed in [RS19b]. We also exhibit an explicit relationship between the divisor C14 and a certain divisor in the open subset of parametrizing smooth quadratic sections of a del Pezzo fivefold, the so-called Gushel–Mukai fourfolds.
| Titolo: | Explicit Rationality of Some Special Fano Fourfolds | |
| Autori interni: | ||
| Data di pubblicazione: | 2021 | |
| Serie: | ||
| Handle: | http://hdl.handle.net/20.500.11769/518421 | |
| ISBN: | 978-3-030-75420-4 978-3-030-75421-1 | |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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http://hdl.handle.net/20.500.11769/518421
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