26 Maggio, 2016 14:00 oclock

Sezione di Geometria, Algebra e loro applicazioni

Normal bundles of rational curves and applications

Riccardo Re, Università di Catania

Aula Seminari del terzo piano

We introduce a new technique to effectively compute the normal bundle of a parametrized rational curve in a projective space. As an application we show how to construct counterexamples to the question, dating from the '80s, whether the Hilbert space of rational curves with a given splitting type of the normal bundle is irreducible. If time permits, we will apply our results to monomial curves and give a formula for their Castelnuovo-Mumford regularity.