On the Gonality of an Algebraic Curve and Its Abelian Automorphism Groups

Autor:	Xin Lu, Sheng-Li Tan
Rok vydání:	2014
Předmět:	Combinatorics Algebra and Number Theory Stable curve Inner automorphism Gonality of an algebraic curve Genus field Fermat curve Algebraic curve Abelian group Automorphism Mathematics
Zdroj:	Communications in Algebra. 43:1509-1523
ISSN:	1532-4125 0092-7872
Popis:	Let G be an abelian automorphism group of a complex algebraic curve of genus g ≥ 2 with gonality d, and let |G| be its order. We prove that except for the Fermat curve of degree d + 1, and if G is cyclic. Furthermore, if |G| > 2g − 2 + 2d and C admits a unique finite cover f: C → ℙ1 of degree d, then f is a Galois cover.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::082db12b27cc95cbbcd5365bfe90255e https://doi.org/10.1080/00927872.2013.865741 Zobrazit plný text záznamu