Towards a tropical proof of the Gieseker-Petri Theorem

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

doi:10.1007/s13348-012-0074-z

Towards a tropical proof of the Gieseker-Petri Theorem

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

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	17-27
Number of pages	11
Journal	Collectanea Mathematica
Volume	65
Issue number	1
DOIs	https://doi.org/10.1007/s13348-012-0074-z
State	Published - Jan 2014

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1007/s13348-012-0074-z

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abstract = "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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AU - Jensen, David

AU - Mata, Cristina

AU - Nguyen, Dat

AU - Parekh, Shalin

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Towards a tropical proof of the Gieseker-Petri Theorem

Abstract

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