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Algebra Seminar

Linear Systems on General Curves of Fixed Gonality

 David Jensen, Yale

Location:  Hill 525
Date & time: Wednesday, 04 October 2017 at 2:00PM - 3:00PM

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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Department of Mathematics

Department of Mathematics
Rutgers University
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