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A MINIMAL SET OF GENERATORS FOR THE CANONICAL IDEAL OF A NONDEGENERATE CURVE

Part of: Special varieties Curves

Published online by Cambridge University Press:  21 November 2014

WOUTER CASTRYCK  and
FILIP COOLS
WOUTER CASTRYCK
Affiliation:
Vakgroep Wiskunde, University of Ghent, Krijgslaan 281, 9000 Gent, Belgium email wouter.castryck@ugent.be
FILIP COOLS*
Affiliation:
Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X1, Rondebosch 7701, South Africa email filip.cools@uct.ac.za
*
✉filip.cools@uct.ac.za
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Abstract

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We give an explicit way of writing down a minimal set of generators for the canonical ideal of a nondegenerate curve, or of a more general smooth projective curve in a toric surface, in terms of its defining Laurent polynomial.

Keywords

canonical idealnondegenerate curvetoric surface

MSC classification

Primary: 14H25: Arithmetic ground fields
Secondary: 14M25: Toric varieties, Newton polyhedra
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 98 , Issue 3 , June 2015 , pp. 311 - 323
Copyright
© 2014 Australian Mathematical Publishing Association Inc. 

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Supplementary material: File

Castryck and Cools Supplementary Material

Supplementary Material

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