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In mathematics, the Enriques–Kodaira classification groups compact complex surfaces into ten classes, each parametrized by a moduli space. For most of...

mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and...

describing the reason for the name "K3 surface" In mathematics, a complex analytic K3 surface is a compact connected complex manifold of dimension 2 with а trivial...

This is a list of named algebraic surfaces, compact complex surfaces, and families thereof, sorted according to their Kodaira dimension following Enriques–Kodaira...

angles on the surface), a complex structure (making it possible to define holomorphic maps to and from the surface—in which case the surface is called a...

more uniform by focusing on surfaces over the complex numbers rather than the real numbers; note that a complex surface has real dimension 4. A simple...

a fibration. Ruled surfaces appear in the Enriques classification of projective complex surfaces, because every algebraic surface of Kodaira dimension...

This follows from proper base change. The surface and the base curve are assumed to be non-singular (complex manifolds or regular schemes, depending on...

In mathematics, the irregularity of a complex surface X is the Hodge number h 0 , 1 = dim ⁡ H 1 ( O X ) {\displaystyle h^{0,1}=\dim H^{1}({\mathcal {O}}_{X})}...

In mathematics, the Veronese surface is an algebraic surface in five-dimensional projective space, and is realized by the Veronese embedding, the embedding...

these K3 surfaces are also sometimes called Kummer surfaces. Other surfaces closely related to Kummer surfaces include Weddle surfaces, wave surfaces, and...

In mathematics, a Picard modular surface, studied by Picard (1881), is a complex surface constructed as a quotient of the unit ball in C2 by a Picard...

In mathematics, an abelian surface is a 2-dimensional abelian variety. One-dimensional complex tori are just elliptic curves and are all algebraic, but...

torsion. In birational geometry, a complex rational surface is any algebraic surface birationally equivalent to the complex projective plane. It is known that...

example of a Riemann surface, and is one of the simplest complex manifolds. In projective geometry, the sphere is an example of a complex projective space...

trivial square. Enriques surfaces are all projective (and therefore Kähler over the complex numbers) and are elliptic surfaces of genus 0. Over fields...

modeler to create a complex surface or object by using Boolean operators to combine simpler objects, potentially generating visually complex objects by combining...

{\displaystyle c_{1}^{2}\leq 3c_{2}} between Chern numbers of compact complex surfaces of general type. Its major interest is the way it restricts the possible...

Hirzebruch surface is a ruled surface over the projective line. They were studied by Friedrich Hirzebruch (1951). The Hirzebruch surface Σ n {\displaystyle...

than one fault, which can lead to complex patterns of surface faulting, such as in the 1992 Landers earthquake. Surface ruptures associated with normal...