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Reconstructing schemes from the derived category

Part of: Abelian categories (Co)homology theory

Published online by Cambridge University Press:  16 March 2012

Carlos Sancho de Salas  and
Fernando Sancho de Salas
Carlos Sancho de Salas
Affiliation:
Department of Mathematics, Universidad de Salamanca, Plaza de la Merced 1–4, 37008 Salamanca, Spain ([email protected]; [email protected])
Fernando Sancho de Salas
Affiliation:
Department of Mathematics, Universidad de Salamanca, Plaza de la Merced 1–4, 37008 Salamanca, Spain ([email protected]; [email protected])
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Abstract

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We generalize Bondal and Orlov's Reconstruction Theorem for a Gorenstein scheme X and a projective morphism X → T whose (relative) dualizing sheaf is either T-ample or T-antiample.

Keywords

derived categoriesequivalencesreconstructionlinear functors

MSC classification

Secondary: 18E30: Derived categories, triangulated categories 14F05: Sheaves, derived categories of sheaves and related constructions
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 3 , October 2012 , pp. 781 - 796
Copyright
Copyright © Edinburgh Mathematical Society 2012

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