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The reflexivity of a Segre product of projective varieties

โœ Scribed by Satoru Fukasawa; Hajime Kaji


Publisher
Springer
Year
2008
Tongue
English
Weight
184 KB
Volume
342
Category
Article
ISSN
0025-5831

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A bound on the plurigenera of projective
โœ Vincenzo Di Gennaro ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Springer ๐ŸŒ English โš– 136 KB

We exhibit a sharp Castelnuovo bound for the i-th plurigenus of a smooth variety of given dimension n and degree d in the projective space P r , and classify the varieties attaining the bound, when n2, r2n+1, d>>r and i>>r. When n=2 and r=5, or n=3 and r=7, we give a complete classification, i.e. fo