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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).

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