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Curves with degenerate general hypersurface sections

โœ Scribed by E. Ballico

Book ID
104152619
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
124 KB
Volume
180
Category
Article
ISSN
0022-4049

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โœฆ Synopsis

Let Y โŠ‚ P n be a non-degenerate curve such that for a general degree t hypersurface S of P n , t ยฟ 2, the scheme Y โˆฉ S does not span P n . Here we give a lower bound for n in terms of t and some invariants of Y .

๐Ÿ“œ SIMILAR VOLUMES

Generic quadric sections of irreducible
Generic quadric sections of irreducible Buchsbaum curves
โœ G. Paxia; A. Ragusa ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 819 KB

We characterize all the sequences of integers which are the first difference of the Hilbert function of a generic quadric section of an irreducible Buchsbaum curve in P3. By some suitable examples we show that these classes of sequences are wider than the ones relative to ACM and Buchsbaum maximal r