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A constructible subset is one which can be constructed from subvarieties using "boolean operations".

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Equivalently it is a subset defined by polynomial equations and inequations. It is true that the image of a constructible subset is again constructible Chevalley's theorem. Explicitly finding this variety i. See ch. I think this is ok,.

Higher nonabelian cohomology of algebraic varieties, par Carlos Simpson

Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Are all parametrizations via polynomials algebraic varieties? Ask Question.


Asked 9 years ago. Active 9 years ago. Viewed 2k times.

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Can we always find equations such that the image is an affine algebraic variety? Giorgio Ottaviani Florence.

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Active 5 years, 6 months ago. Viewed times. If no, could it be true in some natural cases, if yes I would be happy to see a reference. Ben McKay Thanks for the edit. Joe Silverman Joe Silverman The GIT quotient exists and is affine, but does not represent the quotient.