Kodaira dimension

In algebraic geometry, the Kodaira dimension κ(X) measures the size of the canonical model of a projective variety X.

Igor Shafarevich in a seminar introduced an important numerical invariant of surfaces with the notation κ.^[1] Shigeru Iitaka extended it and defined the Kodaira dimension for higher dimensional varieties (under the name of canonical dimension),^[2] and later named it after Kunihiko Kodaira.^[3]