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Function Field Theory of Plane Curves by Dual Curves

✍ Scribed by Hisao Yoshihara

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
126 KB
Volume
239
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study the structure of function fields of plane curves following our method Ž . developed previously K. Miura and H. Yoshihara, 2000, J. Algebra 226, 283᎐294 .

Ž . Let K be the function field of a smooth plane curve C of degree d G 4 and let K be a maximal rational subfield of K for P g ‫ސ‬ 2 . We study the field extension P KrK from a geometrical viewpoint. Especially, we give a sufficient condition that P the Galois group of the Galois closure of KrK becomes a full symmetric group.

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