Moduli stacks and invariants of semistable objects on \(K3\) surfaces

DOI10.1016/j.aim.2007.11.010zbMath1136.14007arXivmath/0703590OpenAlexW2085984521MaRDI QIDQ2480305

Yukinobu Toda

Publication date: 31 March 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703590

zbMATH Keywords

derived categorystability conditionArtin stack

Mathematics Subject Classification ID

Related Items (43)

Birational geometry of singular moduli spaces of O'Grady type ⋮ Curve counting theories via stable objects I. DT/PT correspondence ⋮ Stability condition on Calabi–Yau threefold of complete intersection of quadratic and quartic hypersurfaces ⋮ Bridgeland's stabilities on abelian surfaces ⋮ Moduli spaces of sheaves on \(K3\) surfaces ⋮ Projectivity and birational geometry of Bridgeland moduli spaces ⋮ Curve counting via stable objects in derived categories of Calabi-Yau 4-folds ⋮ Stability on a triangulated category and moduli ⋮ Stability conditions and birational geometry of projective surfaces ⋮ Automorphisms of positive entropy on some hyperKähler manifolds via derived automorphisms of \(K3\) surfaces ⋮ Stability of Gieseker stable sheaves on \(K3\) surfaces in the sense of Bridgeland and some applications ⋮ Fourier-Mukai duality for \(K3\) surfaces via Bridgeland stability condition ⋮ Stability conditions and extremal contractions ⋮ Stability conditions for polarised varieties ⋮ Existence of moduli spaces for algebraic stacks ⋮ Flops and the S-duality conjecture ⋮ The cohomology of the general stable sheaf on a \(K3\) surface ⋮ Fano varieties of cubic fourfolds containing a plane ⋮ Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 1--7, 2022 ⋮ The unreasonable effectiveness of wall-crossing in algebraic geometry ⋮ Geometric stability conditions under autoequivalences and applications: elliptic surfaces ⋮ Lectures on Bridgeland Stability ⋮ Stability conditions and \(\mu\)-stable sheaves on \(K3\) surfaces with Picard number one ⋮ Cusps of the Kähler moduli space and stability conditions on \(K3\) surfaces ⋮ Moduli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariants ⋮ Lagrangian embeddings of cubic fourfolds containing a plane ⋮ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Stability conditions in families ⋮ The wall-crossing behavior for Bridgeland's stability conditions on abelian and \(K3\) surfaces ⋮ Non-symplectic automorphisms of odd prime order on manifolds of \(K3^{[n}\)-type] ⋮ Limit stable objects on Calabi-Yau 3-folds ⋮ Effective divisors on the Hilbert scheme of points in the plane and interpolation for stable bundles ⋮ Curve counting theories on Calabi-Yau 3-folds: Approach via stability conditions on derived categories ⋮ Bayer-Macrì decomposition on Bridgeland moduli spaces over surfaces ⋮ Polynomial Bridgeland stability conditions and the large volume limit ⋮ Projectivity and birational geometry of Bridgeland moduli spaces on an Enriques surface ⋮ O’Grady’s birational maps and strange duality via wall-hitting ⋮ Systolic inequalities for \(\mathrm{K}3\) surfaces via stability conditions ⋮ MMP via wall-crossing for moduli spaces of stable sheaves on an Enriques surface ⋮ Moduli of PT-semistable objects II ⋮ Some Quot schemes in tilted hearts and moduli spaces of stable pairs ⋮ The geometry of antisymplectic involutions. I.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability conditions and branes at singularities
• Stability conditions and the braid group
• Configurations in abelian categories. II: Ringel-Hall algebras
• Stability conditions on a non-compact Calabi-Yau threefold
• Moduli of stable objects in a triangulated category
• Toward a definition of moduli of complexes of coherent sheaves on a projective scheme.
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Bridgeland-stable moduli spaces for \(K\)-trivial surfaces
• Configurations in abelian categories. III: Stability conditions and identities
• Configurations in abelian categories. IV: Invariants and changing stability conditions
• Holomorphic generating functions for invariants counting coherent sheaves on Calabi-Yau 3-folds
• Stability conditions on \(K3\) surfaces
• Stability conditions on triangulated categories
• Configurations in abelian categories. I: Basic properties and moduli stacks
• D-branes, categories and N=1 supersymmetry
• Moduli of complexes on a proper morphism
• Sheaves of t-structures and valuative criteria for stable complexes
• Stability manifold of ℙ¹
• Stability conditions and crepant small resolutions
• Stability conditions and Calabi–Yau fibrations
• Stability Conditions and Kleinian Singularities
• Mumford–Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface
• FRAMED MODULES AND THEIR MODULI
• MOTIVIC INVARIANTS OF ARTIN STACKS AND 'STACK FUNCTIONS'
• Moduli spaces of stable sheaves on abelian surfaces.

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