Seminar in Real, Complex and Tropical Geometry
Thursday, 26.03.2015, 16:00-17:30,
building, room 210
Universitaet des Saarlandes
"Repairing tropicalizations of plane curves with modifications"
In tropical geometry, algebraic varieties are degenerated to polyhedral
complexes, so-called tropical varieties. The fact that a tropical variety
still reflects many properties of the degenerated variety allows an infusion
of polyhedral and combinatorial methods into algebraic geometry.
Tropical geometry is sensitive to embeddings of algebraic varieties inside
toric varieties. In this talk, we present tropical modications as a tool
to locally repair bad embeddings of plane curves, allowing the re-embedded
tropical curve to better reflect the geometry of the input curve.
Joint work with Angelica Cueto.