Reconstructing schemes from the derived category

DOI10.1017/S0013091510000076zbMath1256.18010OpenAlexW2154558415MaRDI QIDQ3167448

Fernando Sancho de Salas, Carlos Sancho de Salas

Publication date: 2 November 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091510000076

zbMATH Keywords

derived categoriesSerre functorreconstructionequivalencesskyscraper sheaveslinear functorsGorenstein zero cyclepoint-like object

Mathematics Subject Classification ID

Related Items

A note on semiorthogonal indecomposability of some Cohen-Macaulay varieties ⋮ Derived equivalences and Kodaira fibers ⋮ Reconstruction of projective curves from the derived category

Cites Work

• Derived categories of sheaves on singular schemes with an application to reconstruction
• Symplectic biextensions and a generalization of the Fourier-Mukai transform
• Fourier--Mukai transforms for Gorenstein schemes
• Equivalences of derived categories and \(K3\) surfaces
• Mirror symmetry on K3 surfaces via Fourier-Mukai transform
• Flops and derived categories.
• Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.
• Presheaves of triangulated categories and reconstruction of schemes
• Reconstruction of a variety from the derived category and groups of autoequivalences
• Fourier-Mukai transforms for K3 and elliptic fibrations
• Duality between D(X) and with its application to picard sheaves
• Fourier-Mukai transforms for elliptic surfaces
• The spectrum of prime ideals in tensor triangulated categories