Tropical complete intersection curves

Details Tropical complete intersection curves Tropical complete intersection curves

2007-11-13

arxiv.org/abs/0711.1962v1

Mathematics

Algebraic Geometry

13 pages, 7 figures

Scientific paper

A tropical complete intersection curve C in R^(n+1) is a transversal
intersection of n smooth tropical hypersurfaces. We give a formula for the
number of vertices of C given by the degrees of the tropical hypersurfaces. We
also compute the genus of C (defined as the number of independent cycles of C)
when C is smooth and connected.

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