Séminaire de Géométrie Tropicale
03 octobre 2012, 16h15 salle 1525-502
Résumé :
Singular tropical surfaces
We completely classify pairs of singular tropical surfaces in
R^3 of maximal-dimensional 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
barycenters of certain faces of singular tropical surfaces, and, in
some case, there may be additional metric restrictions to faces of
singular tropical surfaces.
Joint work with H. and T. Markwig.