Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-06-17T15:10:08.368Z Has data issue: false hasContentIssue false
  • English
  • Français

Syzygies of Veronese Embeddings

Published online by Cambridge University Press:  04 December 2007

Giorgio Ottaviani  and
Raffaella Paoletti
Giorgio Ottaviani
Affiliation:
Dipartimento di Matematica ‘U. Dini’, Università di Firenze, viale Morgagni 67/A, I 50134 Firenze, Italy. E-mail: ottavian@math.unifi.it
Raffaella Paoletti
Affiliation:
Dipartimento di Matematica ed Applicazioni per l'Architettura, Università di Firenze, Piazza Ghiberti 27, I 50122 Firenze, Italy. E-mail: raffy@math.unifi.it
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove that the Veronese embedding φ$_{\cal O \Bbb P}$n(d):$\Bbb P$n$\hookrightarrow \Bbb P$N with n[ges ]2, d[ges ]3 does not satisfy property Np (according to Green and Lazarsfeld) if p[ges ]3d−2. We make the conjecture that also the converse holds. This is true for n=2 and for n=d=3.

Keywords

Veronese embeddingfree resolutionsyzygy
Type
Research Article
Information
Compositio Mathematica , Volume 125 , Issue 1 , January 2001 , pp. 31 - 37
Copyright
© 2001 Kluwer Academic Publishers