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Birational automorphisms of Fano double covers

Functional Analysis and Its Applications, 1999
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Birational automorphisms of double spaces with singularities

Journal of Mathematical Sciences, 1997
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.
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Birational automorphisms of three-dimensional algebraic varieties

Journal of Soviet Mathematics, 1980
The survey is devoted to the birational theory of three-dimensional algebraic Fano varieties.
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On birational automorphisms of a three-dimensional cubic

Russian Mathematical Surveys, 1984
The author describes necessary conditions that must be satisfied by the generators of the group of birational automorphisms of a three- dimensional cubic. The conditions are described with respect to the ''maximal singularity'' of an automorphism of a three-dimensional cubic. The author shows that all the conditions described are effectively realised.
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Birational automorphisms of higher-dimensional algebraic varieties

1998
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BIRATIONAL AUTOMORPHISMS OF A DOUBLE SPACE AND DOUBLE QUADRIC

Mathematics of the USSR-Izvestiya, 1989
It is proved that the groups of birational automorphisms are the same as the groups of biregular automorphisms for two series of Fano varieties of dimension 4 and higher: double spaces of index 1 and double quadrics of index 1. From this it follows that the varieties are not rational.
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Birational automorphisms of algebraic threefolds fibred by cubic surfaces

Russian Mathematical Surveys, 1997
Let \(V\) be a smooth three-dimensional complex projective variety having a morphism \(\pi:V\to \mathbb P^1\), each fibre of which is an irreducible reduced cubic surface, and the generic fibre \(F_{\mu}\) is a smooth cubic surface over \(\mathbb C(\mathbb P^1)\) with Picard group \(\text{Pic}(F_{\mu})=\mathbb ZK_{F_{\mu}}.\) The paper under review ...
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Birational automorphisms of a class of varieties fibred into cubic surfaces

Izvestiya: Mathematics, 2002
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BIRATIONAL AUTOMORPHISMS OF A THREE-DIMENSIONAL QUARTIC WITH A QUADRATIC SINGULARITY

Mathematics of the USSR-Sbornik, 1989
See the review in Zbl 0655.14006.
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Birational automorphisms of algebraic varieties with a pencil of double quadrics

Mathematical Notes, 2000
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