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Results tagged with elimination-theory
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user 12402
Elimination theory is the study of necessary and sufficient conditions for polynomial equations (E) to have solutions.In the homogeneous case, if the number of variables is equal to the number of equations, this leads to the study of the Resultant (polynomial in the coefficients of (E), obtained by "eliminating" the variables ). In the general case, one get a Resultant ideal, generated by polynomial relations in the coefficients of the equations (E).
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Does the main theorem of elimination theory with $\mathbb{Z}$-coefficients imply that projec...
One way to reduce completeness of projective space to $\mathbb{Z}$ is to use noetherian approximation techniques from scheme theory.
Def: Let $R$ be a ring. We say a $R$-scheme $X$ is universally clos …
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