Automorphisms in birational and affine geometry Levico Terme, Italy, October 2012 /

The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended...

Full description

Other Authors: Cheltsov, Ivan, 1973-, SpringerLink (Online service), Conference "Groups of Automorphisms in Birational and Affine Geometry"
Format: eBook
Language: English
Published: Cham : Springer, 2014.
Physical Description: 1 online resource (ix, 518 pages) : illustrations.
Series: Springer proceedings in mathematics & statistics ; v. 79.
Subjects:
Table of Contents:
  • Preface
  • Part I Birational automorphisms
  • H. Ahmadinezhad: Singular del Pezzo fibrations and birational rigidity
  • I. Arzhantsev, A. Popovskiy: Additive actions on projective hypersurfaces
  • J. Blanc, F. Mangolte: Cremona groups of real surfaces
  • M. Brion: On automorphisms and endomorphisms of projective varieties
  • I. Cheltsov: Del Pezzo surfaces and local inequalities
  • T. de Fernex: Fano hypersurfaces and their birational geometry
  • T. Eckl, A. Pukhlikov: On the locus of non-rigid hypersurfaces
  • S. Lamy: On the genus of birational maps between 3-folds
  • A. Massarenti, M. Mella: On the automorphisms of moduli spaces of curves
  • P. Mondal: Normal analytic compacti fications of C2̂
  • V.L. Popov: Jordan groups and automorphism groups of algebraic varieties
  • Yu. Prokhorov: 2-elementary subgroups of the space Cremona group
  • D.-Q. Zhang: Birational automorphism groups of projective varieties of Picard number two
  • Part II Automorphisms of a fine varieties
  • A. Assi: Rational curves with one place at in finity
  • A. Belov, L. Bokut, L. Rowen, Y. Jietai: The Jacobian Conjecture, together with Specht and Burnside-type problems
  • A. Dubouloz, D.R. Finston, I. Jaradat: Equivariant triviality of quasi-monomial triangular G_a-actions on A4̂
  • A. Dubouloz, L. Moser-Jauslin, P.-M. Poloni: Automorphism groups of certain rational hypersurfaces in complex four-space
  • G. Freudenburg: Laurent cancellation for rings of transcendence degree one over a field
  • R.V. Gurjar, K. Masuda, M. Miyanishi: Deformations of A1̂- fibrations
  • T. Kishimoto: Remark on deformations of a fine surfaces with A1- fibrations
  • S. Kuroda: How to prove the wildness of polynomial automorphisms, an example
  • F. Kutzschebauch: Flexibility properties in complex analysis and a fine algebraic geometry
  • A. Lewis: Strongly residual coordinates over C_[x]
  • V. Lin, M. Zaidenberg: Con figuration spaces of the a fine line and their automorphism groups
  • L. Makar-Limanov: On the Newton polygon of a Jacobian mate
  • S. Maubach, R. Willems: Keller maps of low degree over finite fields
  • P. Russell: Cancellation.