Brill-Noether theory of binary curves

Lucia Caporaso

doi:10.4310/mrl.2010.v17.n2.a4

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Brill-Noether theory of binary curves

Lucia Caporaso

Year: 2010 Journal: Mathematical Research Letters Vol: 17 (2)Pages: 243-262 Publisher: International Press of Boston

DOI: 10.4310/mrl.2010.v17.n2.a4

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Abstract

The theorems of Riemann, Clifford and Martens are proved for every line bundle parametrized by the compactified Jacobian of every binary curve.The Clifford index is used to characterize hyperelliptic and trigonal binary curves.The Brill-Noether theorem for r ≤ 2 is proved for a general binary curve.

Keywords:

Mathematics Noether's theorem Brill Binary number Pure mathematics Arithmetic Lagrangian Classics Art

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Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

Geometric and Algebraic Topology

Physical Sciences → Mathematics → Geometry and Topology

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Brill-Noether theory of binary curves

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