Titlebook: Automorphisms in Birational and Affine Geometry; Levico Terme, Italy, Ivan Cheltsov,Ciro Ciliberto,Mikhail Zaidenberg Conference proceeding

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On the Locus of Nonrigid HypersurfacesWe show that the Zariski closure of the set of hypersurfaces of degree . in ., where . ≥ 5, which are either not factorial or not birationally superrigid, is of codimension at least . in the parameter space.

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Jordan Groups and Automorphism Groups of Algebraic VarietiesThe first section of this paper is focused on Jordan groups in abstract setting, the second on that in the settings of automorphisms groups and groups of birational self-maps of algebraic varieties. The appendix contains formulations of some open problems and the relevant comments.

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Ivan Cheltsov,Ciro Ciliberto,Mikhail ZaidenbergPresents original research and valuable overview on topics such as Cremona groups, birational rigidity, dynamics of automorphisms, and algebraic group actions.Features articles by leading specialists

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/b/image/166635.jpg

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Cambridge Imperial and Post-Colonial Studiesves have been extensively studied by A. Bruno and the authors. In this paper we give a survey of these recent results and extend our techniques to some moduli spaces appearing as intermediate steps of Kapranov’s and Keel’s realizations of ., and to the degenerations of Hassett’s spaces obtained by allowing zero weights.