Session II.6 - Computational Algebraic Geometry
Thursday, June 15, 16:30 ~ 17:00
Real Hyperplane Sections and Linear Series on Algebraic Curves
Daniel Plaumann
TU Dortmund University, Germany - This email address is being protected from spambots. You need JavaScript enabled to view it.
Given a real algebraic curve in projective space, we study the computational problem of deciding whether there exists a hyperplane meeting the curve in real points only. This translates into a particular type of parametrized real root counting problem. More generally, given any divisor on such a curve, we may ask whether the corresponding linear series contains an effective divisor with real support. We will focus on examples and indicate a few general results.
Joint work with Huu Phuoc Le (LIP6, Paris) and Dimitri Manevich (TU Dortmund).