198 citations · 713 across the 38 of their papers we have counts for
Showing 2003 · math.AGShow all
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math.AG2003★ 6 cited
First steps in tropical geometry
Jürgen Richter-Gebert, Bernd Sturmfels, Thorsten Theobald
Tropical algebraic geometry is the geometry of the tropical semiring . Its objects are polyhedral cell complexes which behave like complex algebraic varieties.…
math.AG2003★ 5 cited
The Tropical Grassmannian
David Speyer, Bernd Sturmfels
In tropical algebraic geometry, the solution sets of polynomial equations are piecewise-linear. We introduce the tropical variety of a polynomial ideal, and we identify it with a p…
math.AG2003★ 9 cited
Algebraic Geometry of Bayesian Networks
Luis David Garcia, Michael Stillman, Bernd Sturmfels
We study the algebraic varieties defined by the conditional independence statements of Bayesian Networks. A complete algebraic classification is given for Bayesian Networks on at m…