Weierstrass gap sequences and moduli varieties of trigonal curves
type: Item
instance of: scholarly article
title: Weierstrass gap sequences and moduli varieties of trigonal curves
zbMATH Open document ID: 0768.14016
DOI: 10.1016/0022-4049(92)90135-3
author: Karl-Otto Stöhr
author: Paulo Henrique Viana
published in: Journal of Pure and Applied Algebra
publication date: 1992-09-27T00:00:00Z
review text: The Weierstrass gap sequence at an unramified point of a trigonal curve is composed by 2 sequences of consecutive integers; such a result was established by \textit{S. J. Kim} [J. Pure Appl. Algebra 63, No. 2, 171-180 (1990; Zbl 0712.14019)]. With this in mind, the authors obtain the following main result: Theorem: Let \(g\), \(\sigma\) and \(\rho\) be integers with \(g\geq 5\) and \(\sigma<g<\rho<2\sigma+2\). Then the moduli space of pointed trigonal curves of genus \(g\) and Weierstrass gap sequence \(1,\dots,\sigma\), \(\sigma+\rho-g+1,\dots,\rho\) has dimension \(2g+3- \rho+\sigma\) provided \(\rho<3\left[{g+1\over 2}\right]+4-\sigma\). In the course of the proof of this result, the authors provide another proof of Kim's result mentioned above.
reviewed by: Tan Vovan
Mathematics Subject Classification ID: 14H55
zbMATH DE Number: 64212
zbMATH Keywords: Weierstrass gap sequence
zbMATH Keywords: trigonal curve
MaRDI profile type: Publication
full work available at URL: 0022-4049(92)90135-3
OpenAlex ID: W2086451287
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description: scientific article; zbMATH DE number 64212