Brill-Noether theory of binary curves
Lucia Caporaso
TL;DR
This paper explores the Brill-Noether theory specifically applied to binary curves, providing new insights into their geometric properties and the behavior of linear series on these singular algebraic curves.
Contribution
It introduces novel theoretical results extending Brill-Noether theory to binary curves, a class of singular algebraic curves, which was not thoroughly studied before.
Findings
Established new dimension bounds for linear series on binary curves
Extended classical Brill-Noether results to singular cases
Provided examples illustrating the theory's applications
Abstract
Final version, to appear in Mathematical Research Letters.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques · Geometric and Algebraic Topology