DIMENSION OF THE HILBERT SCHEME OF CURVES IN P-3

Authors
OH K RAO AP
Citation
K. Oh et Ap. Rao, DIMENSION OF THE HILBERT SCHEME OF CURVES IN P-3, American journal of mathematics, 118(2), 1996, pp. 363-375
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
American journal of mathematics → ACNP
ISSN journal
00029327
Volume
118
Issue
2
Year of publication
1996
Pages
363 - 375
Database
ISI
SICI code
0002-9327(1996)118:2<363:DOTHSO>2.0.ZU;2-9
Abstract
We show that the dimension of any component of the Hilbert scheme of s pace curves (of degree d) is bounded below by 4d. We find components w here the general point represents a nonlocally Cohen-Macaulay curve wh ich is not a disjoint union of a locally Cohen-Macaulay curve and a ze ro dimensional scheme.