Accession Number:

ADP006604

Title:

Combinatorial Aspects of the Hilbert Scheme,

Descriptive Note:

Corporate Author:

CORNELL UNIV ITHACA NY DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1992-03-01

Pagination or Media Count:

4.0

Abstract:

The Hilbert Scheme is a fundamental object of study in Algebraic Geometry, as it parametrizes all algebras of the form having certain properties in common. In this paper I give a description of such algebras, what properties algebras on the same Hilbert Scheme have in common, and some general properties of the Hilbert Scheme itself. I also indicate how computers become involved in solving these problems for particular algebras and particular Hilbert Schemes.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE