A tropical proof of the Brill-Noether Theorem

F. Cools; J. Draisma; S. Payne; E. Robeva

doi:10.1016/j.aim.2012.02.019

A tropical proof of the Brill-Noether Theorem

F. Cools, J. Draisma, S. Payne, E. Robeva

Discrete Algebra and Geometry

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

85 Citations (Scopus)

Abstract

We produce Brill–Noether general graphs in every genus, confirming a conjecture of Baker and giving a new proof of the Brill–Noether Theorem, due to Griffiths and Harris, over any algebraically closed field.

Original language	English
Pages (from-to)	759-776
Journal	Advances in Mathematics
Volume	230
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2012.02.019
Publication status	Published - 2012

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title = "A tropical proof of the Brill-Noether Theorem",

abstract = "We produce Brill–Noether general graphs in every genus, confirming a conjecture of Baker and giving a new proof of the Brill–Noether Theorem, due to Griffiths and Harris, over any algebraically closed field.",

author = "F. Cools and J. Draisma and S. Payne and E. Robeva",

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AU - Cools, F.

AU - Draisma, J.

AU - Payne, S.

AU - Robeva, E.

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DO - 10.1016/j.aim.2012.02.019

M3 - Article

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VL - 230

SP - 759

EP - 776

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 2

ER -

A tropical proof of the Brill-Noether Theorem

Abstract

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