On the derived categories of degree \(d\) hypersurface fibrations

DOI10.1007/s00208-017-1613-4zbMath1423.14114arXiv1409.5568OpenAlexW2963032141MaRDI QIDQ1751027

Xianqiang Yang

Publication date: 23 May 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5568

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06)

Related Items

A GLSM view on homological projective duality ⋮ All complete intersection varieties are Fano visitors ⋮ Perverse schobers and Orlov equivalences ⋮ Derived factorization categories of non‐Thom–Sebastiani‐type sums of potentials ⋮ Fano visitors, Fano dimension and Fano orbifolds ⋮ Matrix factorizations, Reality and Knörrer periodicity ⋮ Semiorthogonal decompositions in families ⋮ On Clifford double mirrors of toric complete intersections ⋮ Derived Knörrer periodicity and Orlov’s theorem for gauged Landau–Ginzburg models ⋮ The homological projective dual of ⋮ Cycles, derived categories, and rationality ⋮ Hybrid models for homological projective duals and noncommutative resolutions ⋮ Which homotopy algebras come from transfer?

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resolutions in factorization categories
• Matrix factorizations for nonaffine LG-models
• Homological mirror symmetry for curves of higher genus
• On the unipotence of autoequivalences of toric complete intersection Calabi-Yau categories
• A category of kernels for equivariant factorizations and its implications for Hodge theory
• Double quintic symmetroids, Reye congruences, and their derived equivalence
• Homological projective duality via variation of geometric invariant theory quotients
• Equivalences between GIT quotients of Landau-Ginzburg B-models
• Non-birational twisted derived equivalences in abelian GLSMs
• Compact generators in categories of matrix factorizations
• Duality in two-dimensional \((2,2)\) supersymmetric non-abelian gauge theories
• Derived categories of quadric fibrations and intersections of quadrics
• GLSMs for partial flag manifolds
• Koszul duality and modular representations of semisimple Lie algebras
• Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base schemes
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Flops and derived categories.
• Graph cohomology and Kontsevich cycles
• Coherent analogues of matrix factorizations and relative singularity categories
• Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems
• Homological projective duality
• Discriminants, resultants, and multidimensional determinants
• Window shifts, flop equivalences and Grassmannian twists
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
• A geometric approach to Orlov’s theorem
• Homological Mirror Symmetry for the genus two curve
• REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
• Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
• The Pfaffian-Grassmannian derived equivalence
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• The derived category of a GIT quotient
• Equivalence of the Derived Category of a Variety with a Singularity Category
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
• Mirror symmetry and projective geometry of Reye congruences I
• Geometric invariant theory and flips
• Idempotent completion of triangulated categories