The topology of terminal quartic 3-folds

Mathematics – Algebraic Geometry

Scientific paper

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129 pages, PhD thesis submitted to the University of Cambridge

Scientific paper

In this thesis, I determine a bound on the defect of terminal Gorenstein
quartic 3-folds. More generally, I study the defect of terminal Gorenstein Fano
3-folds of Picard rank 1 and genus at least 3. I state a geometric "motivation"
of non Q-factoriality in the case of quartics.

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