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Quintic threefolds and Fano elevenfolds

2014/10/24 by Ed Segal, Segal, Ed, Richard P. Thomas +1
Mathematics · Physics and Astronomy · #14F05 #14J33 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AG #msc:14F05 #msc:14J33

paper · pdf · doi:10.48550/arxiv.1410.6829

V1: 12 pages. V2: added reference to work of Iliev and Manivel. V3: persistent sign error corrected. Other minor changes following referee's suggestions. To appear in Crelle

arxiv created 2015/11/17 · arxiv updated 2015/11/18

Abstract

The derived category of coherent sheaves on a general quintic threefold is a central object in mirror symmetry. We show that it can be embedded into the derived category of a certain Fano elevenfold. Our proof also generates related examples in different dimensions.

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