Vol. 204, No. 1, 2002

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A description of certain affine open subschemes that form an open covering of Hilbn Ak 2

Mark E. Huibregtse

Vol. 204 (2002), No. 1, 97–143
Abstract

In this paper, we study certain affine open subschemes of the Hilbert scheme of n points of the affine plane. We express the coordinate rings of these subschemes explicitly as quotients of polynomial rings; as an application, we give sufficient conditions for these subschemes to be isomorphic to 2n-dimensional affine space.

Milestones
Received: 6 September 2000
Revised: 17 July 2001
Published: 1 May 2002
Authors
Mark E. Huibregtse
Department of Mathematics and Computer Science
Skidmore College
Saratoga Springs, New York 12866