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 H(n,d,g) of the corresponding Hilbert scheme. Moreover, we show that the curves with maximal cohomology almost always correspond to smooth points of H(n,d,g).
Non degenerate projective curves with very degenerate hyperplane section / Notari, Roberto; Ojeda, I; Spreafico, MARIA LUISA. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 251:(2005), pp. 443-473. [10.1007/s00209-005-0821-x]
Non degenerate projective curves with very degenerate hyperplane section
NOTARI, ROBERTO;SPREAFICO, MARIA LUISA
2005
Abstract
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 H(n,d,g) of the corresponding Hilbert scheme. Moreover, we show that the curves with maximal cohomology almost always correspond to smooth points of H(n,d,g).Pubblicazioni consigliate
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https://hdl.handle.net/11583/1516413
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