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Geometry of singular Fano varieties and projective bundles over curves

Geometry of singular Fano varieties and projective bundles over curves

This thesis is devoted to the geometry of Fano varieties and projective vector bundles over a smooth projective curve. In the first part we study the geometry of mildly singular Fano varieties on which there is a prime divisor of Picard number 1. By studying the contractions associated to extremal …