Birational automorphisms of double spaces with singularities
Copyright policy )Birational automorphisms of double spaces with singularities
The author studies a particular class of algebraic varieties. They are two-sheeted covers of a projective space \(\mathbb P^m \) (\(m>2\)) over an algebraically closed field, with some restrictions on the set over which these covers are branched. The main theorem is that these varieties are birationally super-rigid. As corollaries the author obtains many information on the birational properties of this varieties. For instance, he finds the group of their birational automorphisms (in generic case) and that they are not rational.
birational automorphism, birationally super-rigid varieties, rationality, Rationality questions in algebraic geometry, Coverings in algebraic geometry, Birational automorphisms, Cremona group and generalizations, covers
birational automorphism, birationally super-rigid varieties, rationality, Rationality questions in algebraic geometry, Coverings in algebraic geometry, Birational automorphisms, Cremona group and generalizations, covers
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