From Wikipedia, the free encyclopedia
In mathematics, a InoueâHirzebruch surface is a
complex
surface with no
meromorphic functions introduced by
Inoue (1977) . They have
Kodaira dimension Îș = ââ, and are non-algebraic
surfaces of class VII with positive second
Betti number .
Sankaran (1987) studied some higher-dimensional analogues.
Inoue, M. (1977), "New surfaces with no meromorphic functions. II", Complex analysis and algebraic geometry , Tokyo: Iwanami Shoten, pp. 91â106,
MR
0442297
Sankaran, G. K. (1987), "Higher-dimensional analogues of InoueâHirzebruch surfaces",
Mathematische Annalen , 276 (3): 515â528,
doi :
10.1007/BF01450846 ,
ISSN
0025-5831 ,
MR
0875345