Dimensions of monomial varieties
Melvyn B. Nathanson
TL;DR
This paper demonstrates how to determine the dimensions of specific monomial varieties using only basic algebraic techniques accessible at the high school level.
Contribution
It introduces a straightforward method for computing the dimensions of monomial varieties without advanced algebraic geometry tools.
Findings
Dimensions can be computed using elementary algebra
Method simplifies understanding of monomial varieties
Applicable to a class of algebraic varieties
Abstract
The dimensions of certain varieties defined by monomials are computed using only high school algebra.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory