On a property of Castelnuovo varieties

Ciliberto, Ciro

doi:10.1090/S0002-9947-1987-0896017-1

On a property of Castelnuovo varieties
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Trans. Amer. Math. Soc. 303 (1987), 201-210 Request permission

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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Sulle trasformate razionali di un’ipersuperficie algebrica priva di punti multipli

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