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math.AG2008
Polynomial relations among principal minors of a 4x4-matrix
Shaowei Lin, Bernd Sturmfels
The image of the principal minor map for n x n-matrices is shown to be closed. In the 19th century, Nansen and Muir studied the implicitization problem of finding all relations amo…
math.AG2008★ 12 cited
Sagbi Bases of Cox-Nagata Rings
Bernd Sturmfels, Zhiqiang Xu
We degenerate Cox-Nagata rings to toric algebras by means of sagbi bases induced by configurations over the rational function field. For del Pezzo surfaces, this degeneration impli…