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Publication Detailed Description
Journal Title
Mathematische Nachrichten
Year (definitive publication)
2014
Language
English
Country
Germany
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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.
Acknowledgements
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Keywords
Monads,Cohomological characterisation,Primary: 14F05,Secondary: 14J10,14J60
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| PTDC/MAT/099275/2008 | Fundação para a Ciência e a Tecnologia |
| PTDC/MAT-GEO/0675/2012 | Fundação para a Ciência e a Tecnologia |
| PEst-OE/EGE/UI0315/2014 | Fundação para a Ciência e a Tecnologia |
