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Valuation Extensions of Algebras Defined by Monic Gröbner Bases
Algebras Defined Monic Grö bner Bases
2010/11/18
Let $K$ be a field, $\mathcal {O}_v$ a valuation ring of $K$ associated to a valuation $v$: $K\rightarrow\Gamma\cup\{\infty\}$, and ${\bf m}_v$ the unique maximal ideal of $\mathcal {O}_v$. Consider ...
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...