Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.

DOI10.4310/jdg/1090351385zbMath1090.14003arXivmath/0202005OpenAlexW2061271296WikidataQ115201676 ScholiaQ115201676MaRDI QIDQ1777969

Jiun-Cheng Chen

Publication date: 26 May 2005

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202005

zbMATH Keywords

birational geometrycoherent sheavesperverse sheavesFourier-Mukai transforms

Mathematics Subject Classification ID

Related Items (36)

Reconstructing schemes from the derived category ⋮ Noncommutative resolutions and rational singularities ⋮ On equivalences of derived and singular categories ⋮ Flops, flips and perverse point sheaves on threefold stacks ⋮ Contractions of 3-folds: Deformations and invariants ⋮ Gopakumar-Vafa invariants do not determine flops ⋮ Fourier--Mukai transforms for Gorenstein schemes ⋮ Quiver GIT for varieties with tilting bundles ⋮ Derived equivalences and Kodaira fibers ⋮ Flops and spherical functors ⋮ Non-commutative width and Gopakumar-Vafa invariants ⋮ Stability conditions for contraction algebras ⋮ Flops and the S-duality conjecture ⋮ Flops and clusters in the homological minimal model programme ⋮ Stability conditions for 3-fold flops ⋮ Noncommutative crepant resolutions, an overview ⋮ Derived McKay correspondence for \(\mathrm{GL}(3,\mathbb{C})\) ⋮ Birational Geometry and Derived Categories ⋮ Stability conditions and crepant small resolutions ⋮ On a certain generalization of spherical twists ⋮ Maximal modifications and Auslander-Reiten duality for non-isolated singularities ⋮ Singular derived categories of \(\mathbb{Q}\)-factorial terminalizations and maximal modification algebras ⋮ Stability conditions and Calabi–Yau fibrations ⋮ Mukai flops and \(\mathbb{P}\)-twists ⋮ Reduction of triangulated categories and maximal modification algebras for \(cA_n\) singularities ⋮ Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles ⋮ The tilting theory of contraction algebras ⋮ Three-dimensional flops and noncommutative rings ⋮ On a relative Fourier-Mukai transform on genus one fibrations ⋮ Mukai flops and derived categories ⋮ Noncommutative deformations and flops ⋮ Moduli of complexes on a proper morphism ⋮ Relative integral functors for singular fibrations and singular partners ⋮ Derived categories of projectivizations and flops ⋮ Derived categories of toric varieties. III ⋮ Non-commutative thickening of moduli spaces of stable sheaves

This page was built for publication: Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.