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http://hdl.handle.net/10071/8113
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Title: Cohomological characterisation of monads
Authors: Soares, H.
Macias Marques, P.
Keywords: Monads
Cohomological characterisation
Primary: 14F05
Secondary: 14J10
14J60
Issue Date: 2014
Publisher: Wiley-VCH Verlag
Abstract: Let X be an n-dimensional smooth projective variety with an n-block collection B=(F0,..,Fn), with Fi=F1i,..,Fαii, of coherent sheaves on X that generate the bounded derived category Db(X). We give a cohomological characterisation of torsion-free sheaves on X that are the cohomology of monads of the form M•:0⊇Fi0ia⊇Fj0jb⊇Fk0kc⊇0where 0≤i<j<k≤n. We apply the result to get a cohomological characterisation when X is the projective space, the smooth hyperquadric Qn⊂Pn+1 or the Fano threefold V5. We construct a family of monads on a Segre variety and apply our main result to this family.
Description: WOS:000345824200009 (Nº de Acesso Web of Science)
Peer reviewed: Sim
URI: https://ciencia.iscte-iul.pt/public/pub/id/15316
http://hdl.handle.net/10071/8113
ISSN: 0025-584X
Publisher version: The definitive version is available at: http://dx.doi.org/10.1002/mana.201300208
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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