Stability of syzygy bundles
Nicholas Rekuski (University of Liverpool)
Tuesday 22nd October 15:00-16:00 Maths 311B
Abstract
It is notoriously difficult to construct stable bundles with given topological invariants. This difficultly is partially because we have few general constructions of stable vector bundles. Recent work has focused on a conjectural construction called syzygy bundles which are bundles arising as the kernel of the evaluation map on global sections. In this talk, we show syzygy bundles associated to globally-generated line bundles are stable---confirming this conjectural construction.
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