26 citations · 68 across the 11 of their papers we have counts for
3 papers · 1 filter
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…
Bitangents of tropical plane quartic curves
Matt Baker, Yoav Len, Ralph Morrison +2
We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry. For…
Tropicalization of Del Pezzo Surfaces
Qingchun Ren, Kristin Shaw, Bernd Sturmfels
We determine the tropicalizations of very affine surfaces over a valued field that are obtained from del Pezzo surfaces of degree 5, 4 and 3 by removing their (-1)-curves. On these…