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