Towards a tropical proof of the Gieseker–Petri Theorem

Vyassa Baratham,David Jensen, Cristina Mata, Dat Nguyen, Shalin Parekh

Collectanea Mathematica（2012）

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摘要

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.

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关键词

Piecewise Linear Function, Algebraic Curf, General Curve, Dual Graph, Linear Series

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