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The behaviour of the plurigenera of surfaces under algebraic smooth deformations

✍ Scribed by P. M. H. Wilson


Publisher
Springer-Verlag
Year
1978
Tongue
English
Weight
670 KB
Volume
47
Category
Article
ISSN
0020-9910

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A bound on the plurigenera of projective
✍ Vincenzo Di Gennaro πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 101 KB

We exhibit a sharp Castelnuovo bound for the ith plurigenus of a smooth minimal surface of general type and of given degree d in the projective space P r , and classify the surfaces attaining the bound, at least when dr. We give similar results for surfaces not necessarily minimal or of general type