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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Cohomology of toric varieties and tropical calculus
by
Andras Szenes
Mathematics Institute, BME, Budapest
Coauthors: Michele Vergne (Ecole Politechnique)

Given an orbifold toric variety obtained as a quotient of a vector space by a torus, we construct an explicit real complete intesection cycle in the complement of a hyperplane arrangement of the Lie algebra of this torus. The cycle represents the intersection pairing of the toric variety via a residue integral. The proof of the formula uses real algebraic degeneration methods related to "tropical calculus".

Date received: March 30, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caqm-76.