Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On a property of Castelnuovo varieties


Author: Ciro Ciliberto
Journal: Trans. Amer. Math. Soc. 303 (1987), 201-210
MSC: Primary 14J40; Secondary 14E05
MathSciNet review: 896017
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Abstract: Castelnuovo varieties are those irreducible complete varieties in a projective space whose geometric genus is maximal according to their dimension, degree and embedding dimension. In this paper, extending results by Severi and Accola, we prove that, under suitable conditions, such varieties are birational if and only if they are projectively equivalent.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0896017-1
Article copyright: © Copyright 1987 American Mathematical Society