In mathematics, an Enoki surface is compact complex surface with positive second Betti number that has a global spherical shell and a non-trivial divisor D with H0(O(D)) ≠ 0 and (D, D) = 0. Enoki (1980) constructed some examples. They are surfaces of class VII, so are non-Kähler and have Kodaira dimension −∞.
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Last revised May 30, 2026
Enoki surface
In mathematics, an Enoki surface is compact complex surface with positive second Betti number that has a global spherical shell and a non-trivial divisor D with H0(O(D)) ≠ 0 and (D, D) = 0. Enoki (1980) constructed some examples. They are surfaces of class VII, so are non-Kähler and have Kodaira dimension −∞.