- Series
- Tropical Geometry Seminar
- Time
- Wednesday, October 6, 2010 - 10:05am for 1 hour (actually 50 minutes)
- Location
- Skiles 114
- Speaker
- Eric Katz – UT Austin – http://www.ma.utexas.edu/users/eekatz/
- Organizer
- Josephine Yu
Tropicalization is a procedure for associating a polyhedral complex to a subvariety of an algebraic torus. We study the question on which graphs arise from tropicalizing algebraic curves. By using Baker's technique of specialization of linear systems from curves to graphs, we are able to give a necessary condition for a balanced weighted graph to be the tropicalization of a curve. Our condition reproduces the known necessary conditions and also gives new conditions.