Tropical Surface Singularities
نویسندگان
چکیده
In this paper, we study tropicalisations of singular surfaces in toric threefolds. We completely classify singular tropical surfaces of maximaldimensional geometric type, show that they can generically have only finitely many singular points, and describe all possible locations of singular points. More precisely, we show that singular points must be either vertices, or generalized midpoints and barycentres of certain faces of singular tropical surfaces, and, in some case, there may be additional metric restrictions to faces of singular tropical surfaces.
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 48 شماره
صفحات -
تاریخ انتشار 2012