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Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences
September 5, 2019 16:00–17:30, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


The rationality problem of algebraic varieties

Yu. G. Prokhorov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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Yu. G. Prokhorov
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Abstract: An algebraic variety is said to be rational if it admits a parametrization by rational algebraic functions. In general, the question whether a given variety is rational or not is a complicated classical problem. In this talk, I will review the current state of the problem. In particular, some methods of proving non-rationality will be discussed.

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