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math.AG2014★ 2 cited
Cayley-Bacharach Formulas
Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels
The Cayley-Bacharach Theorem states that all cubic curves through eight given points in the plane also pass through a unique ninth point. We write that point as an explicit rationa…
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.…