Function Field Theory of Plane Curves by Dual Curves

Autor:	Hisao Yoshihara
Rok vydání:	2001
Předmět:	Pure mathematics minimal splitting curve Algebra and Number Theory Plane curve Galois group Abelian extension Galois point Geometry Generic polynomial function field maximal rational subfield smooth plane curve Galois extension Separable polynomial Field norm Mathematics Resolvent
Zdroj:	Journal of Algebra. 239:340-355
ISSN:	0021-8693
Popis:	We study the structure of function fields of plane curves following our method developed previously (K. Miura and H. Yoshihara, 2000, J. Algebra226, 283–294). Let K be the function field of a smooth plane curve C of degree d (≥4) and let KP be a maximal rational subfield of K for P∈P2. We study the field extension K/KP from a geometrical viewpoint. Especially, we give a sufficient condition that the Galois group of the Galois closure of K/KP becomes a full symmetric group.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56c1ac3db35c63b0e8d933764725bac1 https://doi.org/10.1006/jabr.2000.8675 Zobrazit plný text záznamu Full Text from ScienceDirect