The unreasonable effectiveness of wall-crossing in algebraic geometry
DOI10.4171/icm2022/80arXiv2201.03654OpenAlexW4389775001MaRDI QIDQ6119697
Publication date: 24 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.03654
Calabi-Yau threefoldsBrill-Noether theoryBridgeland stability conditionscubic fourfoldsDonaldson-Thomas theoryhyperkähler varietiesK3 categories
Vanishing theorems in algebraic geometry (14F17) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hodge theory and derived categories of cubic fourfolds
- MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
- The space of stability conditions on the local projective plane
- Birational models of moduli spaces of coherent sheaves on the projective plane
- Stability conditions on threefolds with nef tangent bundles
- Brill-Noether-Petri without degenerations
- The genus of space curves
- Moduli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariants
- Stability conditions on Fano threefolds of Picard number 1
- Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
- Semistable sheaves in positive characteristic
- Bridgeland-stable moduli spaces for \(K\)-trivial surfaces
- Stability conditions in families
- Higher rank Clifford indices of curves on a \(K3\) surface
- Mukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossing
- On stability conditions for the quintic threefold
- Quadratic differentials as stability conditions
- Twisted cubics on cubic fourfolds
- Stability conditions on \(K3\) surfaces
- Stability conditions on triangulated categories
- Moduli stacks and invariants of semistable objects on \(K3\) surfaces
- A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
- The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds
- The effective cone of the moduli space of sheaves on the plane
- Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds II
- A theory of generalized Donaldson–Thomas invariants
- A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold
- A survey of Torelli and monodromy results for holomorphic-symplectic varieties
- Projectivity and birational geometry of Bridgeland moduli spaces
- Mori cones of holomorphic symplectic varieties of K3 type
- On a Theorem of Bogomolov on Chern Classes of Stable Bundles
- Genre des courbes de l'espace projectif
- Bridgeland Stability Conditions on Fano Threefolds
- Counterexample to the Generalized Bogomolov–Gieseker Inequality for Threefolds
- Gepner point and strong Bogomolov-Gieseker inequality for quintic 3-folds
- Derived categories of Gushel–Mukai varieties
- Homological Algebra of Mirror Symmetry
- Tilting in abelian categories and quasitilted algebras
- STABILITY CONDITIONS IN SYMPLECTIC TOPOLOGY
- Derived categories and the genus of space curves
- Wall-crossing implies Brill-Noether: Applications of stability conditions on surfaces
- Semiorthogonal decompositions in algebraic geometry
- Derived category of coherent sheaves and counting invariants
- Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
- Moduli spaces of stable sheaves on abelian surfaces.
This page was built for publication: The unreasonable effectiveness of wall-crossing in algebraic geometry
