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

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Automorphism Groups of Certain Rational Hypersurfaces in Complex Four-Spacethe structure of the automorphism group of this variety. Here we review some consequences of this structure and generalize some results to other hypersurfaces which arise as deformations of Koras–Russell threefolds.

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Forsake

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2194-1009 raic group actions.Features articles by leading specialists .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.

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General Principles of Mineral Processingth models (with a generality assumption for degree 3). It is speculated that the conjecture holds for, at least, Gorenstein models in degree 1 and 2. In this chapter, I present a (Gorenstein) counterexample in degree 2 to this conjecture.

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Mohmmad Younus Wani,Manzoor Ahmad Malik in terms of local algebras with some additional data. We prove that additive actions on projective hypersurfaces correspond to invariant multilinear symmetric forms on local algebras. It allows us to obtain explicit classification results for non-degenerate quadrics and quadrics of corank one.

Missile

https://doi.org/10.1007/978-3-031-51947-5cusing first on proving that these two definitions are equivalent, one can obtain all the results in M.A. Frumkin [Mat. Sb. (N.S.) 90(132):196–213, 325, 1973] in a much shorter way. In particular, the genus of an automorphism of ., view as a birational self-map of ., will easily be proved to be 0.

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Additive Actions on Projective Hypersurfaces in terms of local algebras with some additional data. We prove that additive actions on projective hypersurfaces correspond to invariant multilinear symmetric forms on local algebras. It allows us to obtain explicit classification results for non-degenerate quadrics and quadrics of corank one.