Source: wikibot/picard-group
= Picard group
{wiki=Picard_group}
The Picard group, often denoted as \\(\\text\{Pic\}(X)\\), is an important concept in algebraic geometry and algebraic topology. It is primarily associated with the study of line bundles (or invertible sheaves) over a scheme or a topological space \\(X\\). \#\#\# Definition 1. **Line Bundles:** A line bundle over a space \\(X\\) is a locally free sheaf of rank 1.