Hostname: page-component-7dd5485656-wxk4p Total loading time: 0 Render date: 2025-10-21T21:05:07.551Z Has data issue: false hasContentIssue false

A smooth surface in $P^4$ not of general type has degree at most 66

Published online by Cambridge University Press:  04 December 2007

R. BRAUN
Affiliation:
Mathematisches Institut, Universität Bayreuth, D-8580 Bayreuth, Germany
M. COOK
Affiliation:
Department of Mathematics, Pomona College, 610 N. College, Avenue Claremont, CA 91711-6348; e-mail: mcook@pomona.edu
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 use geometric information obtained from the generic initial ideal of a hyperplane section of a surface in ${\bb P}^4$ not of general type to bound the degree of such a surface.

Information

Type
Research Article
Copyright
© 1997 Kluwer Academic Publishers