Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/8113
Author(s): | Marques, P. M. Soares, H. |
Date: | 2014 |
Title: | Cohomological characterisation of monads |
Volume: | 287 |
Number: | 17-18 |
Pages: | 2057 - 2070 |
ISSN: | 0025-584X |
DOI (Digital Object Identifier): | 10.1002/mana.201300208 |
Keywords: | Monads Cohomological characterisation Primary: 14F05 Secondary: 14J10 14J60 |
Abstract: | Let X be an n-dimensional smooth projective variety with an n-block collection B=(F0,...,Fn), with Fi=<, 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 kn. We apply the result to get a cohomological characterisation when X is the projective space, the smooth hyperquadric Pn+1 or the Fano threefold V-5. We construct a family of monads on a Segre variety and apply our main result to this family. |
Peerreviewed: | yes |
Access type: | Embargoed Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
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File | Description | Size | Format | |
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mana201300208.pdf Restricted Access | Versão Editora | 277,19 kB | Adobe PDF | View/Open Request a copy |
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