Data di Pubblicazione:
2013
Citazione:
ON CALABI-YAU ELLIPTIC THREEFOLDS IN P^2-BUNDLES / A. Cattaneo ; relatore: B. van Geemen ; coordinatore: L. van Geemen. UNIVERSITA' DEGLI STUDI DI MILANO, 2013 Mar 01. 25. ciclo, Anno Accademico 2012. [10.13130/cattaneo-andrea_phd2013-03-01].
Abstract:
The aim of the thesis is the study and the classification of the families of elliptic threefolds which are embedded as anticanonical divisors in some particular P^2-bundle over a surface. In particular, the case where the base surface is the projective plane is studied in depth.
The main results of the thesis are:
* a theorem on the structure of the non-Kodaira fibres in an elliptic threefold;
* the finiteness of the number of families of smooth elliptic threefolds in the P^2-bundle P(L^a + L^b + O) over a surface, where O is the trivial bundle and L is an ample line bundle;
* a phisical result concerning F-theory, on the tadpole cancellation and universal tadpole cancellation relations.
Tipologia IRIS:
Tesi di dottorato
Keywords:
Calabi-Yau ; elliptic fibration ; elliptic threefold
Elenco autori:
A. Cattaneo
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