6 citations · 10 across the 5 of their papers we have counts for
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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.AG2002★ 1 cited
Common transversals and tangents to two lines and two quadrics in P^3
Gábor Megyesi, Frank Sottile, Thorsten Theobald
We solve the following geometric problem, which arises in several three-dimensional applications in computational geometry: For which arrangements of two lines and two spheres in R…
math.AG2001
Lines Tangent to 2n-2 spheres in R^n
Frank Sottile, Thorsten Theobald
We show that there are 3 \cdot 2^(n-1) complex common tangent lines to 2n-2 general spheres in R^n and that there is a choice of spheres with all common tangents real.