Real Hyperplane Sections and Linear Series on Algebraic Curves

Given a real algebraic curve of degree d in projective space, we may ask whether there exists a hyperplane that meets it in d real points. We will look at this problem and some variations from two different angles: (1) As a computational decision problem. (2) As part of a question about the real divisor class group of the curve. (Based on joint work with Huu Phuoc Le and Dimitri Manevich; arxiv:2106.13990)