Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Linear systems on general curves of fixed gonality

David Jensen

created by risa on 12 May 2017

18 may 2017 -- 14:30

Aula 211, Dip.Matematica, Università "Roma Tre", Roma

Abstract.

The geometry of an algebraic curve is governed by its linear systems. While many curves exhibit bizarre and pathological linear systems, the general curve does not. This is a consequence of the Brill-Noether theorem, which says that the space of linear systems of given degree and rank on a general curve has dimension equal to its expected dimension. In this talk, we will discuss a generalization of this theorem to general curves of fixed gonality. To prove this result, we use tropical and combinatorial methods. This is joint work with Dhruv Ranganathan, based on prior work of Nathan Pflueger.

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