Semiorthogonal decompositions in families
DOI10.4171/icm2022/135arXiv2111.00527MaRDI QIDQ6198720
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Publication date: 20 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.00527
mirror symmetryquantum cohomologyFano threefoldshomological projective dualityderived categories of coherent sheavessemiorthogonal decompositionscategorical resolutions of singularitiesLefschetz decompositionscategorical joinsabsorption of singularitiesresidual categoriescategorical conessimultaneous categorical resolutions of singularities
Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Fibrations, degenerations in algebraic geometry (14D06) Derived categories, triangulated categories (18G80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Exceptional collections on isotropic Grassmannians
- Homological projective duality for determinantal varieties
- Smooth and proper noncommutative schemes and gluing of dg categories
- Küchle fivefolds of type c5
- Derived categories of cyclic covers and their branch divisors
- \(\mathbb P\)-objects and autoequivalences of derived categories
- Lefschetz decompositions and categorical resolutions of singularities
- Derived categories of quadric fibrations and intersections of quadrics
- Geometry and analytic theory of Frobenius manifolds
- On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator
- Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
- On the derived categories of degree \(d\) hypersurface fibrations
- Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics
- Some remarks on L-equivalence of algebraic varieties
- On Fano 4-folds of index 1 and homogeneous vector bundles over Grassmannians
- \(K\)-theory and the singularity category of quotient singularities
- Towards homological projective duality for \(\mathsf{S}^2 \mathbb{P}^3\) and \(\mathsf{S}^2 \mathbb{P}^4\)
- Categorical Plücker formula and homological projective duality
- Derived categories of projectivizations and flops
- Simultaneous categorical resolutions
- Derived categories of singular surfaces
- Three notions of dimension for triangulated categories
- Torelli problem for Calabi-Yau threefolds with GLSM description
- Intersections of two Grassmannians in \(\mathbb{P}^9\)
- Calabi-Yau and fractional Calabi-Yau categories
- On derived categories of arithmetic toric varieties
- Hori-mological projective duality
- An update on semisimple quantum cohomology and \(F\)-manifolds
- Derived categories of Fano threefolds
- Spherical DG-functors
- Perverse schobers and birational geometry
- Noncommutative homological projective duality
- Homological projective duality
- Resolution of singularities of plane deformations of double rational points
- Nested varieties of \(K3\) type
- Minimal Lefschetz decompositions of the derived categories for Grassmannians
- Base change for semiorthogonal decompositions
- Derived Categories of Cubic Fourfolds
- On Küchle varieties with Picard number greater than 1
- Exceptional collections for Grassmannians of isotropic lines
- On Vanishing Sums of Distinct Roots of Unity
- The moduli space of cubic fourfolds
- A counterexample to the birational Torelli problem for Calabi-Yau threefolds
- Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields
- Gushel-Mukai varieties: Classification and birationalities
- Derived categories of Gushel–Mukai varieties
- Homological Algebra of Mirror Symmetry
- Quantum cohomology of complete intersections
- Residual categories for (co)adjoint Grassmannians in classical types
- Homological projective duality for quadrics
- Categorical joins
- Derived Categories of Families of Sextic del Pezzo Surfaces
- On residual categories for Grassmannians
- On the derived category of
- Notes on homological projective duality
- Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory
- The homological projective dual of
- Double spinor Calabi-Yau varieties
- Categorical Resolutions of Irrational Singularities
- Semiorthogonal decompositions in algebraic geometry
- Hyperplane sections and derived categories
- On analytic surfaces with double points
- Mirror symmetry and T-duality in the complement of an anticanonical divisor
- Homological Projective Duality for Linear Systems with Base Locus
- Full Exceptional Collections on Lagrangian Grassmannians
