Stability conditions on \(K3\) surfaces

From MaRDI portal
Publication:2472319

DOI10.1215/S0012-7094-08-14122-5zbMath1138.14022arXivmath/0307164WikidataQ60961514 ScholiaQ60961514MaRDI QIDQ2472319

Tom Bridgeland

Publication date: 21 February 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307164




Related Items

Curve counting theories via stable objects I. DT/PT correspondenceStability condition on Calabi–Yau threefold of complete intersection of quadratic and quartic hypersurfacesSpherical functors on the Kummer surfaceInducing stability conditionsA note on Bogomolov-Gieseker type inequality for Calabi-Yau 3-foldsProjectivity and birational geometry of Bridgeland moduli spacesStability on a triangulated category and moduliFOURIER–MUKAI PARTNERS OF A K3 SURFACE AND THE CUSPS OF ITS KAHLER MODULIScattering diagrams, stability conditions, and coherent sheaves on ℙ²Induced automorphisms on irreducible symplectic manifolds:Stability manifolds of varieties with finite Albanese morphismsRank 𝑟 DT theory from rank 1Chern degree functionsStability conditions on Calabi-Yau double/triple solidsA partial compactification of the Bridgeland stability manifoldSheaves of low rank in three-dimensional projective spaceDerived equivalences of hyperkähler varietiesBirational geometry of Beauville-Mukai systems. I: The rank three and genus two case.Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functorCo-t-structures, cotilting and cotorsion pairsq-stability conditions on Calabi–Yau-𝕏 categoriesThe cohomology of the general stable sheaf on a \(K3\) surfaceCastelnuovo-Mumford regularity and Bridgeland stability of points in the projective planeAsymptotic shifting numbers in triangulated categoriesThe desingularization of the theta divisor of a cubic threefold as a moduli spaceThe unreasonable effectiveness of wall-crossing in algebraic geometryInduced birational transformations on O'Grady's sixfoldsThe stability manifold of local orbifold elliptic quotientsDerived categories of hearts on Kuznetsov componentsWall crossing for moduli of stable sheaves on an elliptic surfaceGeometric stability conditions under autoequivalences and applications: elliptic surfacesBridgeland stability of minimal instanton bundles on Fano threefoldsCurvature of the space of stability conditionsBirational geometry of the intermediate Jacobian fibration of a cubic fourfold (appendix by Claire Voisin)Stability conditions and the mirror symmetry of \(K3\) surfaces in attractor backgroundsThe K3 category of a cubic fourfoldCounting special Lagrangian classes and semistable Mukai vectors for K3 surfaces\(R\)-linear triangulated categories and stability conditionsCategorical Torelli theorems: results and open problemsBirational automorphim groups of a generalized Kummer manifold for an abelian surface with Picard number 1Variation of stability for moduli spaces of unordered points in the planeLectures on Bridgeland StabilityA CLASSIFICATION OF LAGRANGIAN PLANES IN HOLOMORPHIC SYMPLECTIC VARIETIESDuality, Bridgeland wall-crossing and flips of secant varietiesIntroduction to Stability ConditionsOn the strange duality conjecture for abelian surfaces IIFormality conjecture for K3 surfacesLagrangian embeddings of cubic fourfolds containing a planeLectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces$K3$ surfaces with involution and analytic torsionSymplectic topology of $K3$ surfaces via mirror symmetryHilbert scheme of twisted cubics as a simple wall-crossingBridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalitiesMASS GROWTH OF OBJECTS AND CATEGORICAL ENTROPYCurve counting theories on Calabi-Yau 3-folds: Approach via stability conditions on derived categoriesDerived categories of surfaces, O’Grady’s filtration, and zero-cycles on holomorphic symplectic varietiesOn Weyl groups and Artin groups associated to orbifold projective linesStability and the Fourier–Mukai transform IIDerived and abelian equivalence of K3 surfacesOn entropy of spherical twistsBridgeland stability on threefolds: Some wall crossingsO’Grady’s birational maps and strange duality via wall-hittingBirational geometry of moduli spaces of sheaves and Bridgeland stabilityStability conditions under change of base fieldTHE EFFECTIVE CONE OF MODULI SPACES OF SHEAVES ON A SMOOTH QUADRIC SURFACEA symplectic prolegomenonStability manifold of ℙ¹On the motive of O’Grady’s ten-dimensional hyper-Kähler varietiesThe Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone ConjectureDerived categories of hyper-Kähler manifolds: extended Mukai vector and integral structureDerived equivalences of K3 surfaces and twined elliptic generaCritical \(k\)-very ampleness for abelian surfacesSTABILITY CONDITIONS ON GENERIC COMPLEX TORIBirational geometry of singular moduli spaces of O'Grady typeStability conditions on product varietiesaCM bundles on a general abelian surfaceFourier-Mukai transforms of slope stable torsion-free sheaves on Weierstrass elliptic threefoldsPerverse coherent sheaves and Fourier-Mukai transforms on surfaces. I.Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfacesSpectral sequences and vacua in \( \mathcal{N}=2 \) gauged linear quantum mechanics with potentialsOn the birational motive of hyper-Kähler varietiesBridgeland's stabilities on abelian surfacesModuli spaces of sheaves on \(K3\) surfacesAn effective restriction theorem via wall-crossing and Mercat's conjectureBridgeland stability conditions on surfaces with curves of negative self-intersectionA generalized Bogomolov-Gieseker inequality for the smooth quadric threefoldStability conditions and birational geometry of projective surfacesSpherical DG-functorsAutomorphisms of positive entropy on some hyperKähler manifolds via derived automorphisms of \(K3\) surfacesThe nef cone of the moduli space of sheaves and strong Bogomolov inequalitiesStability of Gieseker stable sheaves on \(K3\) surfaces in the sense of Bridgeland and some applicationsChow groups of \(K3\) surfaces and spherical objectsTHE MOONSHINE MODULE FOR CONWAY’S GROUPCategorical entropy for Fourier-Mukai transforms on generic abelian surfacesFourier-Mukai duality for \(K3\) surfaces via Bridgeland stability conditionStability conditions and extremal contractionsStability conditions on a non-compact Calabi-Yau threefoldThe space of stability conditions on the projective planeRelative stability conditions on Fukaya categories of surfacesBridgeland-stable moduli spaces for \(K\)-trivial surfacesOrthogonally spherical objects and spherical fibrationsTilting and refined Donaldson-Thomas invariantsFano varieties of cubic fourfolds containing a planeStability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varietiesBogomolov's inequality for product type varieties in positive characteristicAttractor mechanisms of moduli spaces of Calabi-Yau 3-foldsMukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossingBridgeland stability conditions on the acyclic triangular quiverBirational geometry of the Mukai system of rank two and genus twoStability conditions and \(\mu\)-stable sheaves on \(K3\) surfaces with Picard number oneFourier-Mukai partners of canonical covers of bielliptic and Enriques surfacesStability conditions via spherical objectsDerived categories and the analytic approach to general reciprocity laws. IIICusps of the Kähler moduli space and stability conditions on \(K3\) surfacesModuli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariantsStability and Fourier-Mukai transforms on elliptic fibrationsThe space of stability conditions on the local projective planeInterpolation, Bridgeland stability and monomial schemes in the planeA categorical invariant for cubic threefoldsStability conditions for restrictions of vector bundles on projective surfacesThe birational geometry of moduli spaces of sheaves on the projective planeQuotient categories, stability conditions, and birational geometryMMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrationsOn gluing stability conditions on ruled surfaces of positive genusTilt-stability, vanishing theorems and Bogomolov-Gieseker type inequalitiesBirational models of moduli spaces of coherent sheaves on the projective planeOn pseudo-Anosov autoequivalencesStability conditions in familiesFlat surfaces and stability structuresWhy should a birational geometer care about Bridgeland stability conditions?Generalized twisted cubics on a cubic fourfold as a moduli space of stable objectsThe wall-crossing behavior for Bridgeland's stability conditions on abelian and \(K3\) surfacesNef divisors for moduli spaces of complexes with compact supportModuli stacks and invariants of semistable objects on \(K3\) surfacesNon-symplectic automorphisms of odd prime order on manifolds of \(K3^{[n}\)-type] ⋮ Completions, branched covers, Artin groups, and singularity theoryPhases of Lagrangian-invariant objects in the derived category of an abelian varietyLimit stable objects on Calabi-Yau 3-foldsEffective divisors on the Hilbert scheme of points in the plane and interpolation for stable bundlesContractible stability spaces and faithful braid group actionsThe generalized Franchetta conjecture for some hyper-Kähler varieties. IIDerived equivalences of K3 surfaces and orientationHigher rank Clifford indices of curves on a \(K3\) surfaceBayer-Macrì decomposition on Bridgeland moduli spaces over surfacesScattering diagrams, sheaves, and curvesThe space of stability conditions on abelian threefolds, and on some Calabi-Yau threefoldsBirational geometry of moduli spaces of stable objects on Enriques surfacesConstant cycle and co-isotropic subvarieties in a Mukai systemPolynomial Bridgeland stability conditions and the large volume limitSome new categorical invariantsBridgeland stability conditions on wild Kronecker quiversOn derived equivalences of \(K3\) surfaces in positive characteristicProjectivity and birational geometry of Bridgeland moduli spaces on an Enriques surfaceSystolic inequalities for \(\mathrm{K}3\) surfaces via stability conditionsCharacteristic classes and stability conditions for projective Kleinian orbisurfacesThe basepoint-freeness threshold of a very general abelian surfaceK3 string theory, lattices and moonshineOn stability conditions for the quintic threefoldDerived equivalences via HRS-tiltingMMP via wall-crossing for moduli spaces of stable sheaves on an Enriques surfaceStability conditions on threefolds with nef tangent bundlesZero rank asymptotic Bridgeland stabilityAn extension of the Siegel space of complex abelian varieties and conjectures on stability structuresA short proof of the deformation property of Bridgeland stability conditionsStability conditions on morphisms in a categoryA note on Bridgeland stability conditions and Catalan numbersPerverse coherent sheaves and Fourier-Mukai transforms on surfaces. II.Quadratic differentials as stability conditionsThe geometry of antisymplectic involutions. I.Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type



Cites Work


This page was built for publication: Stability conditions on \(K3\) surfaces

OSZAR »