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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von Andrea Cattaneo (Milano, ITA)

A journey through Elliptic CY threefolds

In this talk I want to study and classify the elliptic CY threefolds in a projective plane bundle P(La + Lb + O) where L is an ample line bundle on a surface B. In particular I will show that only a finite number of pairs (a, b) can occur. I will focus then on B = P2 to give a full description of the possible cases, with some example in order to clarify the situation.
In the last part of the talk I will present one result of physical interest: it concerns the so called tadpole cancellation, and it is a generalization of a previous result by Aluffi and Esole.