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February 14, 2018 11:50, International conference Polynomial Rings and Affine Algebraic Geometry (PRAAG-2018), February 12--16, 2018, Tokyo Metropolitan University, Tokyo, Japan  


Variations on the theme of Zariski's Cancellation Problem

V. L. Popov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract: I call an algebraic variety flattenable if it is isomorphic to an open subset of an affine space. In this talk, I discuss, in the frame of algebraic group actions, the topic whose starting point is the following question that resembles the Zariski Cancellation Problem: Are there affine algebraic varieties X and Y such that X and X\times Y are flattenable, but Y is not?

Language: English

Website: https://sites.google.com/view/praag-2018/home?authuser=0
 
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