The Weierstrass semigroup of a pair and moduli inM 3 |
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| Authors: | Seon Jeong Kim Jiryo Komeda |
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| Affiliation: | (1) Department of Mathematics, Gyeongsang National University, 660-701 Chinju, Korea;(2) Department of Mathematics, Kanagawa Institute of Technology, 243-0292 Atsugi, Japan |
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| Abstract: | We classify all the Weierstrass semigroups of a pair of points on a curve of genus 3, by using its canonical model in the plane. Moreover, we count the dimension of the moduli of curves which have a pair of points with a specified Weierstrass semigroup.This work has been supported by the Japan Society for the Promotion of Science and the Korea Science and Engineering Foundation (Project No. 976-0100-001-2). Also the first author is partially supported by Korea Research Foundation Grant (KRF-99-005-D00003). |
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| Keywords: | Weierstrass semigroup of a pair plane quartic curve moduli of curves of genus 3 |
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