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math.AG2012
Unirationality and existence of infinitely transitive models
Fedor Bogomolov, Ilya Karzhemanov, Karine Kuyumzhiyan
We study unirational algebraic varieties and the fields of rational functions on them. We show that after adding a finite number of variables some of these fields admit an infinite…
math.AG2012
On the quotient of by a finite primitive group of type (I)
Ilya Karzhemanov
We study rationality problem for the quotient of by a finite primitive group of Type (I). We prove that this quotient is a rational variety for any such .