Special linear series on real trigonal curves

Abstract: For a given trigonal curve $C$, geometric features of the Brill-Noether variety $W_d^r(C)$ parametrizing complete linear series of degree $d$ and dimension at least $r$ are well known. If the curve $C$ is real, then $W_d^r(C)$ is also defined over $\mathbb{R}$. In this talk we will see the basic properties of real linear series and discuss the topology of the real locus $W_d^r(C)(\mathbb{R})$ for some specific cases.

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars