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;
2005-01-01
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}.$File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
non-degenerate-curves.pdf
Accesso riservato
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
301.42 kB
Formato
Adobe PDF
|
301.42 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
