Session S31 - Mathematical-Physical Aspects of Toric and Tropical Geometry

Monday, July 12, 13:30 ~ 14:30 UTC-3

Decomposition of the skeleton of a tropical linear space

Luciá Lopez de Medrano

UNAM, Mexico   -   lucia.ldm@im.unam.mx

The skeletons of tropical varieties have been the subject of several studies. In this talk, we present a different approach to the combinatorial study of the skeleton of a tropical linear space. In particular, we show that in the case of realizables tropical linear spaces, the k-dimensional skeleton is an arrangement of k-dimensional tropical linear spaces. The main tool used in this study are tropical modifications. Work in progress with Aubin Arroyo.

Joint work with Aubin Arroyo (UNAM, Mexico).

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