160 citations · 199 across the 25 of their papers we have counts for
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math.AG2011
Obstructions to lifting tropical curves in surfaces in 3-space
Tristram Bogart, Eric Katz
Tropicalization is a procedure that takes subvarieties of an algebraic torus to balanced weighted rational complexes in space. In this paper, we study the tropicalizations of curve…
math.AG2010★ 14 cited
Few smooth d-polytopes with n lattice points
Tristram Bogart, Christian Haase, Milena Hering +6
We prove that, for fixed n there exist only finitely many embeddings of Q-factorial toric varieties X into P^n that are induced by a complete linear system. The proof is based on a…
math.AG2005★ 160 cited
Computing Tropical Varieties
Tristram Bogart, Anders Jensen, David Speyer +2
The tropical variety of a -dimensional prime ideal in a polynomial ring with complex coefficients is a pure -dimensional polyhedral fan. This fan is shown to be connected in…