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Generic quadric sections of irreducible Buchsbaum curves

✍ Scribed by G. Paxia; A. Ragusa

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
819 KB
Volume
119
Category
Article
ISSN
0022-4049

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✦ Synopsis

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 rank curves. @ 1997 Elsevier Science B.V. 1991 Math. Subj. Class.: Primary 14HSO; Secondary 14H45 is the first difference dH(CnQ, -) of the Hilbert function of a generic quadric section of an irreducible maximal rank Buchsbaum curve C if and only if (*) K, >2(K,+l -K,

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