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arXiv · 1106.1140

Algebraic and combinatorial Brill-Noether theory

Lucia Caporaso
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Abstract

The interplay between algebro-geometric and combinatorial Brill-Noether theory is studied. The Brill-Noether variety of a graph shown to be non-empty if the Brill-Noether number is non-negative, as a consequence of the analogous fact for smooth projective curves. Similarly, the existence of a graph for which the Brill-Noether variety is empty implies the emptiness of the corresponding Brill-Noether variety for a general curve. The main tool is a refinement of Baker's Specialization Lemma.

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Lucia Caporaso. 2011-09-27. Algebraic and combinatorial Brill-Noether theory. https://arxiv.org/abs/1106.1140

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