Orlov spectra: bounds and gaps

DOI10.1007/s00222-011-0367-yzbMath1266.14013arXiv1012.0864OpenAlexW3103694474MaRDI QIDQ1762414

Matthew Ballard, Ludmil Katzarkov, David Favero

Publication date: 26 November 2012

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0864

zbMATH Keywords

triangulated categoryderived categoryFukaya categorygeneration timeOrlov spectrumstrong generator

Mathematics Subject Classification ID

Related Items (32)

Computing global dimension of endomorphism rings via ladders ⋮ Generation in Module Categories and Derived Categories of Commutative Rings ⋮ The derived and extension dimensions of abelian categories ⋮ Matrix factorizations via Koszul duality ⋮ Orlov's equivalence and maximal Cohen-Macaulay modules over the cone of an elliptic curve ⋮ An upper bound for the dimension of bounded derived categories ⋮ Orlov spectra as a filtered cohomology theory ⋮ Dimensions of triangulated categories with respect to subcategories ⋮ Hodge theory and derived categories of cubic fourfolds ⋮ Perverse schobers and Orlov equivalences ⋮ Rouquier dimension is Krull dimension for normal toric varieties ⋮ Categorical action filtrations via localization and the growth as a symplectic invariant ⋮ The K3 category of a cubic fourfold ⋮ Ideal cotorsion theories in triangulated categories ⋮ Some extensions of theorems of Knörrer and Herzog-Popescu ⋮ Super Landau-Ginzburg mirrors and algebraic cycles ⋮ A category of kernels for equivariant factorizations and its implications for Hodge theory ⋮ Double Solids, Categories and Non-Rationality ⋮ Dual pairs of gauged linear sigma models and derived equivalences of Calabi-Yau threefolds ⋮ Variation of geometric invariant theory quotients and derived categories ⋮ Generation in singularity categories of hypersurfaces of countable representation type ⋮ Upper bounds for dimensions of singularity categories ⋮ The extension dimension of triangular matrix algebras ⋮ Symplectic surgeries along certain singularities and new Lefschetz fibrations ⋮ Homological mirror symmetry for Calabi-Yau hypersurfaces in projective space ⋮ A category of kernels for equivariant factorizations. II: Further implications ⋮ A new 5-fold flop and derived equivalence ⋮ Some new categorical invariants ⋮ The toric Frobenius morphism and a conjecture of Orlov ⋮ The derived dimensions of \((m,n)\)-Igusa-Todorov algebras ⋮ A symplectic prolegomenon ⋮ Derived categories of toric varieties. III

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