 ##  [Zilber Trichotomy](/index.php/zilber-trichotomy) 

  ##  [Zilber Trichotomy](https://mathlogic.quantumdictionary.io/zilber-trichotomy-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A proposed classification principle in geometric model theory asserting that a certain strongly minimal structure (or strongly minimal set) must fall into exactly one of three archetypal geometries: disintegrated (trivial), vector-space-like (locally modular), or field-like (interpreting an algebraically closed field). It is stated as a structural alternative for strongly minimal sets.