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Tropical theta characteristics

By Ilia Zharkov

Abstract

This note is a follow up of math.AG/0612267v2 and it is largely inspired by a beautiful description of Baker-Norine of non-effective degree (g-1) divisors via chip-firing game. We consider the set of all theta characteristics on a tropical curve and identify the Riemann constant as a unique non-effective one among them.Comment: 4 pages, still an addendum to math.AG/0612267v2, exposition improved, description of positive theta adde

Topics: Mathematics - Algebraic Geometry, Mathematics - Combinatorics
Year: 2009
OAI identifier: oai:arXiv.org:0712.3205

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