We use tropical techniques to prove a case of the Gieseker–Petri Theorem. Specifically, we show that the general curve of arbitrary genus does not admit a Gieseker–Petri special pencil.
Referencias bibliográficas
Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of Algebraic Curves, vol. I. Grundlehren der Mathematischen Wissenschaften...
Baker, M.: Specialization of linear systems from curves to graphs. Algebra Number Theory 2(6), 613–653 (2008) (with an appendix by Brian Conrad)