Author: Eiko

Tags: algebraic geometry, intersection

Time: 2024-10-03 06:21:46 - 2024-10-03 06:23:18 (UTC)

Complete Intersection

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.