On the decomposition subgroup of an irrational curve in the Cremona group of the plane

DOI10.1307/mmj/1187646995zbMath1144.14010OpenAlexW2028437426MaRDI QIDQ2469308

Ivan Pan

Publication date: 5 February 2008

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

Full work available at URL: https://doi.org/10.1307/mmj/1187646995

zbMATH Keywords

plane curvesinertia groupCremona transformationsdecomposition group

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Birational automorphisms, Cremona group and generalizations (14E07) Plane and space curves (14H50) Rational and birational maps (14E05)

Related Items (4)

Quartic surfaces up to volume preserving equivalence ⋮ Cremona transformations, surface automorphisms, and plain cubics. With an appendix by Igor Dolgachev ⋮ On the inertia group of elliptic curves in the Cremona group of the plane ⋮ On birational transformations of pairs in the complex plane

Cites Work

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• Hyperplane sections of projective surfaces. I: The adjunction mapping
• On the 2-connectedness of very ample divisors on a surface
• On Cremona transformations of prime order
• \(p\)-elementary subgroups of the Cremona group
• On planar Cremona maps of prime order
• Birational involutions of \({\mathbb{P}}^ 2\).
• Geometry of the plane Cremona maps

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