IJPAM: Volume 101, No. 1 (2015)

THE HEAVIEST WEIERSTRASS $N$-SEMIGROUPS
ON NON-HYPERELLIPTIC CURVES?

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY


Abstract. We propose the two ``heaviest" Weierstrass n-semigroups for non-hyperelliptic curves (one on trigonal curves with maximal Maroni invariant and with totally ramification points and one on bielliptic curves and with as points some of the ramification points). We compute them when $n=2$.

Received: March 6, 2015

AMS Subject Classification: 14H55

Key Words and Phrases: Weierstrass $n$-semigroup, semigroup of non-gaps, bielliptic curve, trigonal curve

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DOI: 10.12732/ijpam.v101i1.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 1
Pages: 101 - 108


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