Tropical theta characteristics

Mathematics – Algebraic Geometry

Scientific paper

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4 pages, still an addendum to math.AG/0612267v2, exposition improved, description of positive theta added

Scientific paper

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.

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