Accession Number : ADP006604

Title :   Combinatorial Aspects of the Hilbert Scheme,

Corporate Author : CORNELL UNIV ITHACA NY DEPT OF MATHEMATICS

Personal Author(s) : Reeves, Alyson A.

Report Date : MAR 1992

Pagination or Media Count : 4

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.

Descriptors :   *ALGEBRAIC GEOMETRY, COMPUTERS, GEOMETRY, PAPER, POLYNOMIALS, PARAMETRIC ANALYSIS, PROBLEM SOLVING.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE