On the derived category of Grassmannians in arbitrary characteristic
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Publication:2947950
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
exceptional collectiontilting bundlesemi-orthogonal decompositionGrassmannian varietyquasi-hereditary algebra
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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
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- 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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