Author: Eiko
Tags: algebraic geometry, intersection
Time: 2024-10-03 06:21:46 - 2024-10-03 06:23:18 (UTC)
An algebraic variety \(V\) in projective space is a complete intersection if the ideal defining \(V\) is generated by \(\mathrm{codim\,}V\) equations.
This means, if it has dimension \(n-m\) inside \(\mathbb{P}^n\), it is defined by \(m\) equtaions.