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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  and
M. COOK
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
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Abstract

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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.

Keywords

surfacenot of general typegeneric initial ideal
Type
Research Article
Information
Compositio Mathematica , Volume 107 , Issue 1 , May 1997 , pp. 1 - 9
Copyright
© 1997 Kluwer Academic Publishers