866 citations
- Russian Academy of SciencesRU852 papers
- St. Petersburg Department of Steklov Institute of MathematicsRU415 papers
- National Research University Higher School of EconomicsRU220 papers
- St Petersburg UniversityRU177 papers
- Lomonosov Moscow State UniversityRU174 papers
- Moscow Institute of Physics and TechnologyRU152 papers
- Centre National de la Recherche ScientifiqueFR118 papers
- Institute for Theoretical and Experimental PhysicsRU92 papers
- Skolkovo Institute of Science and TechnologyRU87 papers
- Institute for Information Transmission ProblemsRU64 papers
- National University of Science and TechnologyRU57 papers
- Russian Quantum CenterRU52 papers
16 papers · 2 filters
Derived categories of coherent sheaves and motives
Dmitri Orlov
We discuss relations between the motives of two varieties with equivalent derived categories of coherent sheaves.
Exceptional collections for Grassmannians of isotropic lines
Alexander Kuznetsov
We construct a full exceptional collection of vector bundles in the derived category of coherent sheaves on the Grassmannian of isotropic two-dimensional subspaces in a symplectic…
Derived Categories of Quadric Fibrations and Intersections of Quadrics
Alexander Kuznetsov
We construct a semiorthogonal decomposition of the derived category of coherent sheaves on a quadric fibration consisting of several copies of the derived category of the base of t…
Birationally rigid varieties with a pencil of Fano double covers. III
Aleksandr V. Pukhlikov
We complete the study of birational geometry of Fano fiber spaces , the fiber of which is a Fano double hypersurface of index 1. For each family of thes…
Elliptic structures on weighted three-dimensional Fano hypersurfaces
Ivan Cheltsov
We classify birational maps into elliptic fibrations of a general quasismooth hypersurface in of degree that has termi…
Real K3 surfaces with non-symplectic involution and applications. II
Viacheslav V. Nikulin, Sachiko Saito
We consider real forms of relatively minimal rational surfaces F_m. Connected components of moduli of real non-singular curves in |-2K_{F_m}| had been classified recently for m=0,…