Syzygies of veronese embeddings

Authors
Ottaviani, G Paoletti, R
Citation
G. Ottaviani et R. Paoletti, Syzygies of veronese embeddings, COMP MATH, 125(1), 2001, pp. 31-37
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPOSITIO MATHEMATICA
ISSN journal
0010437X → ACNP
Volume
125
Issue
1
Year of publication
2001
Pages
31 - 37
Database
ISI
SICI code
0010-437X(200101)125:1<31:SOVE>2.0.ZU;2-#
Abstract
We prove that the Veronese embedding phi (OPn(d)): P-n --> P-N with n great er than or equal to2, d greater than or equal to3 does not satisfy property N-p (according to Green and Lazarsfeld) if p greater than or equal to 3d-2 . We make the conjecture that also the converse holds. This is true for n=2 and for n=d=3.