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 0875345