Wednesday, July 31, 2013

1307.7997 (Andrea Cattaneo)

Elliptic fibrations and the singularities of their Weierstrass models    [PDF]

Andrea Cattaneo
The aim of this paper is to investigate the structure of non-Kodaira fibres in elliptic threefolds. I will show that for minimal elliptic threefolds these fibres are contractions of Kodaira fibres. I will give a necessary condition for a Weierstrass fibration to be the Weierstrass model of an elliptic threefold and I will present several examples.
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