Enoki surface
Encyclopedia
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. constructed some examples. They are surfaces of class VII, so are non-Kähler and have Kodaira dimension
−∞.
Compact space
In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness property, which has many important implications not valid in general spaces...
complex
Complex number
A complex number is a number consisting of a real part and an imaginary part. Complex numbers extend the idea of the one-dimensional number line to the two-dimensional complex plane by using the number line for the real part and adding a vertical axis to plot the imaginary part...
surface
Surface
In mathematics, specifically in topology, a surface is a two-dimensional topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space R3 — for example, the surface of a ball...
with positive second Betti number
Betti number
In algebraic topology, a mathematical discipline, the Betti numbers can be used to distinguish topological spaces. Intuitively, the first Betti number of a space counts the maximum number of cuts that can be made without dividing the space into two pieces....
that has a global spherical shell and a non-trivial divisor D with H0(O(D)) ≠ 0 and (D, D) = 0. constructed some examples. They are surfaces of class VII, so are non-Kähler and have Kodaira dimension
Kodaira dimension
In algebraic geometry, the Kodaira dimension κ measures the size of the canonical model of a projective variety V.The definition of Kodaira dimension, named for Kunihiko Kodaira, and the notation κ were introduced in the seminar.-The plurigenera:...
−∞.