What is another word for birational geometry?
Pronunciation: [ba͡ɪɹˈe͡ɪʃənə͡l d͡ʒiˈɒmətɹˌi] (IPA) 
Birational geometry is a branch of algebraic geometry that deals with birational transformations. Birational transformations are maps between algebraic varieties that are dominant and have a rational inverse. There are a number of synonyms for birational geometry, including the study of algebraic varieties, the study of rational maps, and the study of crepant resolutions. Other synonyms include the study of moduli spaces, the study of the minimal model program, and the study of rational surfaces. Finally, birational geometry is also known as the study of geometry over fields that are not algebraically closed, or the study of birational geometry over non-algebraically closed fields.
