Word.ws English Dictionary

birational geometry

birational geometry noun: a field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.

Noun

birational geometry (uncountable)

  1. A field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.
    • Birational geometry amounts to the study of mappings given by rational functions rather than polynomials.
    • Recently, some amazing relations between quantum cohomology and birational geometry have been discovered.1999, Yongbin Ruan, Surgery, Quantum Cohomology and Birational Geometry, Ya. Eliashberg, D. Fuchs, T. Ratiu, Alan Weinstein (editors), Northern California Symplectic Geometry Seminar, American...

Questions about birational geometry

What does birational geometry mean?
Birational geometry means a field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.
What part of speech is birational geometry?
Birational geometry is a noun.

Words near birational geometry in the dictionary

  1. birandom
  2. biraphid
  3. biraryl
  4. biraryls
  5. birational
  6. birational geometry
  7. birationality
  8. birationally
  9. Biratnagar
  10. birb
  11. Birbeck

Source and license

Adapted from Wiktionary: birational geometry (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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