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ACM bundles on cubic surfaces

Autor
Casanellas, M.; Hartshorne, R.
Tipus d'activitat
Article en revista
Revista
Journal of the European Mathematical Society
Data de publicació
2011
Volum
13
Número
3
Pàgina inicial
709
Pàgina final
731
DOI
https://doi.org/10.4171/JEMS/265 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/12280 Obrir en finestra nova
URL
http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=13&iss=3&rank=6 Obrir en finestra nova
Resum
We prove that, for every r 2, the moduli space Ms X.rI c1; c2/ of rank r stable vector bundles with Chern classes c1 D rH and c2 D 1 2 .3r2 􀀀 r/ on a nonsingular cubic surface X P3 contains a nonempty smooth open subset formed by ACM bundles, i.e. vector bundles with no intermediate cohomology. The bundles we consider for this study are extremal for the number of generators of the corresponding module (these are known as Ulrich bundles), so we also prove the existence of indecomposable Ul...
Citació
Casanellas, M.; Hartshorne, R. ACM bundles on cubic surfaces. "Journal of the European Mathematical Society", 2011, vol. 13, núm. 3, p. 709-731.
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

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