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ON THE REPRESENTABILITY OF [Hscr ]ilbnk[x](x)

Published online by Cambridge University Press:  13 February 2001

ROY MIKAEL SKJELNES
ROY MIKAEL SKJELNES
Affiliation:
Department of Mathematics, KTH, Lindstedtsv. 25, SE-100 44 Stockholm, Sweden; [email protected]
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Abstract

Let k[x](x) be the polynomial ring k[x] localized in the maximal ideal (x) ⊂ k[x]. The paper studies the Hilbert functor parametrizing ideals of colength n in this ring having support at the origin. The main result is that this functor is not representable. A complete description of the functor as a limit of representable functors is also given.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 757 - 770
Copyright
The London Mathematical Society 2000

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