On the derived category of Grassmannians in arbitrary characteristic

DOI10.1112/S0010437X14008070zbMath1333.14017arXiv1006.1633OpenAlexW3102451472MaRDI QIDQ2947950

Michel Van den Bergh, Ragnar-Olaf Buchweitz, Graham J. Leuschke

Publication date: 29 September 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1633

zbMATH Keywords

exceptional collectiontilting bundlesemi-orthogonal decompositionGrassmannian varietyquasi-hereditary algebra

Mathematics Subject Classification ID

Related Items (14)

Tilting bundles on orders on \(\mathbb P^d\) ⋮ The Frobenius morphism in invariant theory ⋮ Derived categories of Grassmannians over integers and modular representation theory ⋮ Highest weight categories and recollements ⋮ HPD-invariance of the Tate conjecture(s) ⋮ Semiorthogonal decomposition via categorical action ⋮ Noncommutative crepant resolutions, an overview ⋮ Derived categories of skew quadric hypersurfaces ⋮ Derived categories of quintic del Pezzo fibrations ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Another strongly exceptional collection of coherent sheaves on a Grassmannian ⋮ Ringel duality for certain strongly quasi-hereditary algebras ⋮ Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices ⋮ On quasi-hereditary algebras

Cites Work

• Pieri resolutions for classical groups.
• A Mackey imprimitivity theory for algebraic groups
• K-theory of twisted Grassmannians
• Kapranov's tilting sheaf on the Grassmannian in positive characteristic
• On the derived categories of coherent sheaves on some homogeneous spaces
• The universal form of the Littlewood-Richardson rule
• A filtration for rational modules
• Linear systems on homogeneous spaces
• On tilting modules for algebraic groups
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• SCHUR ALGEBRAS OF FINITE TYPE
• Homogeneous Vector Bundles and Koszul Algebras

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