3-fold

In algebraic geometry, a 3-fold or threefold is an algebraic variety of dimension 3.

The Mori program showed that 3-folds have minimal models.

See also

• Algebraic curve
• Algebraic surface
• Cubic threefold
• Quartic threefold
• Quintic threefold

References

• Matsuki, Kenji (2002), Introduction to the Mori program, Universitext, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98465-0. MR 1875410
• Reid, Miles (1980), "Canonical 3-folds", "Journées de Géometrie Algébrique d'Angers, Juillet 1979/Algebraic Geometry, Angers, 1979", Alphen aan den Rijn: Sijthoff & Noordhoff, pp. 273–310, MR 605348
• Roth, L. (1955), "Algebraic threefolds, with special regard to problems of rationality", Ergebnisse der Mathematik und ihrer Grenzgebiete (N.F.), Heft 6, Berlin, New York: Springer-Verlag, MR 0076426