Stability conditions and Calabi–Yau fibrations

DOI10.1090/S1056-3911-08-00511-0zbMath1157.14025arXivmath/0608495MaRDI QIDQ3549347

Yukinobu Toda

Publication date: 22 December 2008

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

Full work available at URL: https://arxiv.org/abs/math/0608495

zbMATH Keywords

elliptic fibrationsCalabi-Yau threefoldsstability conditions on triangulated categoriesabelian fibrationsCalabi-Yau fibrations\(K3\) fibrations

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Fibrations, degenerations in algebraic geometry (14D06)

Related Items (8)

Inducing stability conditions ⋮ Bridgeland stability conditions on the acyclic triangular quiver ⋮ The space of stability conditions on the local projective plane ⋮ Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities ⋮ Nef divisors for moduli spaces of complexes with compact support ⋮ Moduli stacks and invariants of semistable objects on \(K3\) surfaces ⋮ Limit stable objects on Calabi-Yau 3-folds ⋮ Curve counting theories on Calabi-Yau 3-folds: Approach via stability conditions on derived categories

Cites Work

• Three-dimensional flops and noncommutative rings
• Stability conditions on a non-compact Calabi-Yau threefold
• Flops and derived categories.
• Derived category automorphisms from mirror symmetry
• Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.
• Stability conditions on triangulated categories
• Autoequivalences of derived categories on the minimal resolutions of \(A_n\)-singularities on surfaces
• Stability conditions and crepant small resolutions
• Stability Conditions and Kleinian Singularities
• On the Cone of Divisors of Calabi–Yau Fiber Spaces
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