On a property of Castelnuovo varieties
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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.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 303 (1987), 201-210
- MSC: Primary 14J40; Secondary 14E05
- DOI: https://doi.org/10.1090/S0002-9947-1987-0896017-1
- MathSciNet review: 896017