Source: wikibot/abelian-variety
= Abelian variety
{wiki=Abelian_variety}
An **Abelian variety** is a fundamental concept in algebraic geometry and is defined as a projective algebraic variety that has the structure of a group variety. More formally, an Abelian variety can be described as follows: 1. **Projective Variety**: It is a complex manifold that can be embedded in projective space \\(\\mathbb\{P\}^n\\) for some integer \\(n\\). This means it can be described in terms of polynomial equations.