Abstract
We know that a nonempty linear variety in n-dimensional space that is described by a system of linear equations of rank r has dimension n - r, and that any linear variety of dimension d can always be described by n - d equations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kunz, E. (2013). On the number of equations needed to describe an algebraic variety. In: Introduction to Commutative Algebra and Algebraic Geometry. Modern Birkhäuser Classics. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-5987-3_5
Download citation
DOI: https://doi.org/10.1007/978-1-4614-5987-3_5
Published:
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4614-5986-6
Online ISBN: 978-1-4614-5987-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)