---
created: 2023-03-31T14:27
updated: 2024-01-09T13:18
aliases:
  - Fano
---
# Fano variety

A **Fano variety** is a [smooth](smooth) [projective variety](projective%20variety) $X \in \smooth\Proj\Var$ whose [anticanonical sheaf](anticanonical%20sheaf)  $\omega _{X}^{-1}$ is [ample](ample).