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Seminar of the Laboratory on Algebraic Transformation Groups HSE University
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Automorphism groups of affine varieties without non-algebraic elements A. Yu. Perepechko National Research University "Higher School of Economics", Moscow |
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Abstract: Given an affine algebraic variety - all unipotent elements (hence all - it consists of algebraic elements, - it is nested, i.e., a direct limit of algebraic subgroups, - it is a semidirect product of an algebraic torus and an abelian unipotent group. Earlier we proved the conjecture for the group generated by connected algebraic subgroups instead of We will also discuss possible approaches to the conjecture and related questions. The talk is based on the joint work with Andriy Regeta. Language: English |