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Article Dans Une Revue Manuscripta mathematica Année : 2009

Elliptic curve configurations on Fano surfaces



The elliptic curves on a surface of general type constitute an obstruction for the cotangent sheaf to be ample. In this paper, we give the classification of the configurations of the elliptic curves on the Fano surface of a smooth cubic threefold. That means that we give the number of such curves, their intersections and a plane model. This classification is linked to the classification of the automorphism groups of theses surfaces.

Dates et versions

hal-03054035 , version 1 (11-12-2020)



Xavier Roulleau. Elliptic curve configurations on Fano surfaces. Manuscripta mathematica, 2009, 129 (3), pp.381 - 399. ⟨10.1007/s00229-009-0264-5⟩. ⟨hal-03054035⟩
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