On the k-unirationality of the cubic complex

Conte, Alberto and Marchisio, Marina and Murre, Jacob P. (2007) On the k-unirationality of the cubic complex. Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze FF.MM.NN, LXXXV. ISSN 1825-1242

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Abstract

We show that the complete intersection V = V (2, 3) ! P5 of a quadric
and a cubic in 5-dimensional projective space defined over a field k, of char. "= 2, 3, is
unirational over this field k itself if moreover V has a point p rational over k and if one of
the two planes through p on the quadric is also rational over k.

Item Type:	Article
Subjects:	M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User:	Mr Nunzio Femminò
Date Deposited:	16 Apr 2007
Last Modified:	13 Apr 2010 11:17
URI:	http://cab.unime.it/mus/id/eprint/429

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