On the inertia group of elliptic curves in the Cremona group of the plane

DOI10.1307/mmj/1224783516zbMath1156.14011arXivmath/0703804OpenAlexW2080255532MaRDI QIDQ2518791

Jérémy Blanc

Publication date: 16 January 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703804

zbMATH Keywords

Cremona transformationinertia group

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07)

Related Items (10)

Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy ⋮ Real forms on rational surfaces ⋮ Regularizations of pseudo-automorphisms with positive algebraic entropy ⋮ An automorphism group of a rational surface: not too big not too small ⋮ Embeddings of \(\mathrm{SL}(2, \mathbb Z)\) into the Cremona group ⋮ Action of the Cremona group on a noncommutative ring ⋮ Infinitesimal deformations of rational surface automorphisms ⋮ Cremona transformations, surface automorphisms, and plain cubics. With an appendix by Igor Dolgachev ⋮ On birational transformations of pairs in the complex plane ⋮ Entropy of Real Rational Surface Automorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Finite abelian subgroups of the Cremona group of the plane
• On Cremona transformations of prime order
• On a theorem of Castelnuovo
• \(p\)-elementary subgroups of the Cremona group
• On the decomposition subgroup of an irrational curve in the Cremona group of the plane
• Dynamical degree of plane Cremona transformations which stabilize a nonelliptic irrational curve.
• On planar Cremona maps of prime order
• RATIONAL SURFACES OVER PERFECT FIELDS. II
• Birational involutions of \({\mathbb{P}}^ 2\).
• Geometry of the plane Cremona maps

This page was built for publication: On the inertia group of elliptic curves in the Cremona group of the plane