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Mathematics > Combinatorics

arXiv:1812.00284 (math)
[Submitted on 1 Dec 2018 (v1), last revised 18 Jun 2019 (this version, v2)]

Title:$K$-weight bounds for $γ$-hyperelliptic semigroups

Authors:Ethan Cotterill, Renato Vidal Martins
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Abstract:In this note, we show that {\it $\gamma$-hyperelliptic} numerical semigroups of genus $g \gg \gamma$ satisfy a refinement of a well-known characteristic weight inequality due to Torres. The refinement arises from substituting the usual notion of weight by an alternative version, the $K$-weight, which we previously introduced in the course of our study of unibranch curve singularities.
Comments: final version, to appear in Semigroup Forum
Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG)
MSC classes: 20Mxx, 14Hxx
Cite as: arXiv:1812.00284 [math.CO]
  (or arXiv:1812.00284v2 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.1812.00284

Submission history

From: Ethan Cotterill [view email]
[v1] Sat, 1 Dec 2018 23:21:31 UTC (7 KB)
[v2] Tue, 18 Jun 2019 17:47:02 UTC (7 KB)
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