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A standard Hilbert-space proof of Dirichlet’s principle is simplified, using an observation that a certain form of min-problem has unique solution, at a specified point. This solves Dirichlet’s proble...
Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof
Reduced Grö bner Bases Certain Toric Varieties New Short Proof
2010/11/30
Let K be a field and let m0, ...,mn be an almost arithmetic sequence of positive integers. Let C be a toric variety in the affine (n + 1)-space,defined parametrically by x0 = tm0 , . . . , xn = tmn. I...