A note on embeddings of \(S^4\) and \(A_5\) into the two-dimensional Cremona group and versal Galois covers

DOI10.2977/prims/1201012381zbMath1152.14014arXivmath/0510503OpenAlexW2052311517MaRDI QIDQ945597

Shinzo Bannai, Hiro-O Tokunaga

Publication date: 12 September 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510503

zbMATH Keywords

Cremona groupversal Galois covers

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30) Coverings in algebraic geometry (14E20)

Related Items (3)

TORSORS AND STABLE EQUIVARIANT BIRATIONAL GEOMETRY ⋮ Equivariant birational geometry of quintic del Pezzo surface ⋮ Finite Subgroups of the Plane Cremona Group

Cites Work

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• Generic polynomials over \(\mathbb Q\) with two parameters for the transitive groups of degree five.
• On finite Galois coverings of projective manifolds
• Automorphism groups of generic rational surfaces
• On Cremona transformations of prime order
• Construction of versal Galois coverings using toric varieties
• TWO-DIMENSIONAL VERSAL G-COVERS AND CREMONA EMBEDDINGS OF FINITE GROUPS
• On Dihedral Galois Coverings
• Equivariant resolution of points of indeterminacy
• On planar Cremona maps of prime order
• GALOIS COVERINGS OF PROJECTIVE VARIETIES FOR DIHEDRAL AND SYMMETRIC GROUPS
• Birational involutions of \({\mathbb{P}}^ 2\).

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