Relative integral functors for singular fibrations and singular partners

DOI10.4171/JEMS/162zbMath1221.18010arXivmath/0610319OpenAlexW2115312502MaRDI QIDQ1024260

Fernando Sancho de Salas, Ana Cristina López Martín, Daniel Hernandez Ruiperez

Publication date: 16 June 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610319

zbMATH Keywords

elliptic fibrationCohen-Macaulayequivalence of categoriesFourier-Mukaifully faithfulgeometric integral functors

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Minimal model program (Mori theory, extremal rays) (14E30) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items

Fully faithfulness criteria for quasi-projective schemes ⋮ Derived equivalences and Kodaira fibers ⋮ Adjoints to a Fourier-Mukai functor ⋮ Reconstruction of projective curves from the derived category ⋮ Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes ⋮ Twisted Fourier-Mukai transforms for holomorphic symplectic four-folds ⋮ Relative perfect complexes ⋮ Interactions between autoequivalences, stability conditions, and moduli problems ⋮ Abelian fibrations and SYZ mirror conjecture ⋮ On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors ⋮ The linear dual of the derived category of a scheme ⋮ Fourier-Mukai partners of singular genus one curves ⋮ Noncommutative deformations and flops ⋮ Bondal-Orlov fully faithfulness criterion for Deligne-Mumford stacks ⋮ Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities ⋮ Modularity from monodromy ⋮ Relative Fourier–Mukai transforms for Weierstraß fibrations, abelian schemes and Fano fibrations

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