Automorphisms in Birational and Affine Geometry: Levico Terme, Italy, October 2012

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 C^2.- 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 A^4.- 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 A^1- 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.