Stability of toric vector bundles

Lucie Devey (University of Edinburgh)

Tuesday 9th April 14:00-15:00 110

Abstract

Given any toric vector bundle, we may construct its parliament of polytopes. This is a generalization of the Newton polytope (or moment polytope) of a toric line bundle. This object contains a huge amount of information about the original bundle: notably on its global sections and its positivity. We may also determine if it is (semi-)stable or not with respect to any polarisation. It is a first step in getting a classification of toric vector bundles.

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