On the inertia group of elliptic curves in the Cremona group of the plane
نویسندگان
چکیده
منابع مشابه
On the Inertia Group of Elliptic Curves in the Cremona Group of the Plane
We study the group of birational transformations of the plane that fix (each point of) a curve of geometric genus 1. A precise description of the finite elements is given; it is shown in particular that the order is at most 6, and that if the group contains a non-trivial torsion, the fixed curve is the image of a smooth cubic by a birational transformation of the plane. We show that for a smoot...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2008
ISSN: 0026-2285
DOI: 10.1307/mmj/1224783516