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- Title
Non degenerate projective curves with very degenerate hyperplane section.
- Authors
Roberto Notari; Ignacio Ojeda; Maria Luisa Spreafico
- Abstract
Abstract In this paper, we study the Hilbert scheme of non degenerate locally Cohen- Macaulay projective curves with general hyperplane section spanning a linear space of dimension 2 and minimal Hilbert function. The main result is that those curves are almost always the general element of a generically smooth component Hn,d,g of the corresponding Hilbert scheme. Moreover, we show that the curves with maximal cohomology almost always correspond to smooth points of Hn,d,g.
- Publication
Mathematische Zeitschrift, 2005, Vol 251, Issue 2, p443
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-005-0821-x