Weierstrass semigroups on double covers of genus 4 curves

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• 作者：Seon Jeong Kim^a ; ^{skim@gnu.ac.kr" class="auth_mail} ; Jiryo Komeda^b ; ^{komeda@gen.kanagawa-it.ac.jp" class="auth_mail}
• 关键词：14H55 ; 14H30 ; 14H45
• 刊名：Journal of Algebra
• 出版年：1 March, 2014
• 年：2014
• 卷：405
• 期：Complete
• 页码：142-167
• 全文大小：337 K

文摘

Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramification points on double covers of C which have genus greater than 11. Moreover, we construct double covers with ramification points whose Weierstrass semigroups are the possible ones.