Elementary introduction to representable functors and Hilbert schemes

doi:https://doi.org/10.4064/-36-1-179-198

Elementary introduction to representable functors and Hilbert schemes

Stein Arild Strømme-1996-01-01-Banach Center Publications

TL;DRAbstract

The purpose of this paper is to define and prove the existence of the Hilbert scheme. This was originally done by Grothendieck in [4]. A simplified proof was given by Mumford [11], and we will basically follow that proof, with small modifications.

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The purpose of this paper is to define and prove the existence of the Hilbert scheme. This was originally done by Grothendieck in [4]. A simplified proof was given by Mumford [11], and we will basically follow that proof, with small modifications.

Keywords

MathematicsFunctorPure mathematicsAlgebra over a field

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