Inoue–Hirzebruch surface

In mathematics, a Inoue–Hirzebruch surface is a complex surface with no meromorphic functions introduced by Inoue (1977). They have Kodaira dimension κ = −∞, and are non-algebraic surfaces of class VII with positive second Betti number. Sankaran (1987) studied some higher dimensional analogues.

See also

List of algebraic surfaces

References

Inoue, M. (1977), "New surfaces with no meromorphic functions. II", Complex analysis and algebraic geometry, Tokyo: Iwanami Shoten, pp. 91–106, MR 0442297
Sankaran, G. K. (1987), "Higher-dimensional analogues of Inoue–Hirzebruch surfaces", Mathematische Annalen 276 (3): 515–528, doi:10.1007/BF01450846, ISSN 0025-5831, MR 875345