Birational rigidity and ℚ-factoriality of a singular double cover of a quadric branched over a divisor of degree 4

Author:

Shramov K. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference18 articles.

1. K. Matsuki, Introduction to the Mori Program, in Universitext (Springer-Verlag, New York, 2002).

2. A. Corti, “Singularities of linear systems and 3-fold birational geometry,” in London Math. Soc. Lecture Note Ser., Vol. 281: Explicit Birational Geometry of 3-Folds (Cambridge Univ. Press, Cambridge, 2000), pp. 259–312.

3. A. Pukhlikov, “Essentials of the method of maximal singularities,” in LondonMath. Soc. Lecture Note Ser., Vol. 281: Explicit Birational Geometry of 3-Folds (Cambridge Univ. Press, Cambridge, 2000), pp. 73–100.

4. V. A. Iskovskikh, “Anticanonical models of three-dimensional algebraic varieties,” in Itogi Nauki Tekh. Sovrem. Probl. Mat. (VINITI, Moscow, 1979), Vol. 12, pp. 59–157 [J. SovietMath. 13, 745–814 (1980)].

5. V. A. Iskovskikh and Yu. I. Manin, “Three-dimensional quartics and counterexamples to the Lüroth problem,” Mat. Sb. 86(1), 140–166 (1971) [Math. USSR-Sb. 15 (1), 141–166 (1971)].

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1. Which quartic double solids are rational?;Journal of Algebraic Geometry;2018-12-07

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