Implicitization of surfaces via geometric tropicalization

Details Implicitization of surfaces via geometric tropicalization Implicitization of surfaces via geometric tropicalization

2011-05-03

arxiv.org/abs/1105.0509v1

Mathematics

Algebraic Geometry

21 pages, 7 figures

Scientific paper

In this paper we describe tropical methods for implicitization of surfaces. We construct the corresponding tropical surfaces via the theory of geometric tropicalization due to Hacking, Keel and Tevelev, which we enrich with a formula for computing tropical multiplicities of regular points in any dimension. We extend previous results for tropical implicitization of generic surfaces due to Sturmfels, Tevelev and Yu and provide methods for the non-generic case.

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