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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The linear dual of the derived category of a scheme


Authors: Carlos Sancho de Salas and Fernando Sancho de Salas
Journal: Proc. Amer. Math. Soc. 139 (2011), 1897-1907
MSC (2010): Primary 14F05; Secondary 18E30
Published electronically: January 21, 2011
MathSciNet review: 2775366
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Abstract: Let $ X\to S$ be a projective morphism of schemes. We study the category $ D(X/S)^*$ of $ S$-linear exact functors $ D(X)\to D(S)$, and we study the Fourier transform $ D(X)\to D(X/S)^*$.


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Additional Information

Carlos Sancho de Salas
Affiliation: Department of Mathematics, University of Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain
Email: fsancho@usal.es

Fernando Sancho de Salas
Affiliation: Department of Mathematics, University of Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain
Email: mplu@usal.es

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-10895-5
PII: S 0002-9939(2011)10895-5
Keywords: Derived categories, integral functors, linear functors
Received by editor(s): January 27, 2010
Published electronically: January 21, 2011
Additional Notes: This work was supported by research projects MTM2009-07289 (MEC) and SA001A07 (JCYL)
Communicated by: Lev Borisov
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.