Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces

DOI10.1070/im1998v062n01ABEH000188zbMath0948.14008OpenAlexW2019369943MaRDI QIDQ4229482

Aleksandr V. Pukhlikov

Publication date: 8 April 1999

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1998v062n01abeh000188

zbMATH Keywords

birational automorphismbirational rigidityalgebraic threefoldmaximal singularitiesIskovskikh's conjecturerationality for pencils of Del Pezzo surfaces

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and unirational varieties (14M20) (3)-folds (14J30) Fano varieties (14J45)

Related Items (20)

Sextic Double Solids ⋮ Birational geometry of higher-dimensional Fano varieties ⋮ BIRATIONAL RIGIDITY OF ORBIFOLD DEGREE 2 DEL PEZZO FIBRATIONS ⋮ Cylinders in del Pezzo fibrations ⋮ Birational geometry of algebraic varieties with a pencil of Fano complete intersections ⋮ The rationality problem for conic bundles ⋮ Equivariant pliability of the projective space ⋮ On the cut-and-paste property of algebraic varieties ⋮ Geography of log models: theory and applications ⋮ On birational rigidity of singular del Pezzo fibrations of degree 1 ⋮ On pliability of del Pezzo fibrations and Cox rings ⋮ Rationally connected non-Fano type varieties ⋮ Unnamed Item ⋮ On the birational rigidity of a series of multidimensional Fano varieties ⋮ Birationally rigid del Pezzo fibrations ⋮ Stability of fibrations over one-dimensional bases ⋮ Certain examples of birationally rigid varieties with a pencil of double quadrics ⋮ Birational automorphisms of algebraic varieties with a pencil of double quadrics ⋮ On the birational rigidity of some pencils of del Pezzo surfaces ⋮ Nonrational del Pezzo fibrations admitting an action of the Klein simple group

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