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{{Short description|Type of algebraic surface}} ...ra theorem, valid in algebraic geometry over the complex numbers, has such surfaces as counterexamples, and these can only exist in [[characteristic p|characte ...

In mathematics, a '''Burniat surface''' is one of the [[surfaces of general type]] introduced by {{harvs|txt|last=Burniat|first=Pol|year=196 ...t3=Chris A.M. | last4=Van de Ven | first4=Antonius | title=Compact Complex Surfaces | publisher= Springer-Verlag, Berlin | series=Ergebnisse der Mathematik und ...

In [[algebraic geometry]], a '''Segre surface''', studied by {{harvs|txt|authorlink=Corrad ...ines. The term "Segre surface" is also occasionally used for various other surfaces, such as a quadric in 3-dimensional projective space, or the hypersurface ...

{{Short description|Object in algebraic geometry}} ...Togliatti surface''' is a [[nodal surface]] of degree five with 31 [[Node (algebraic geometry)|nodes]]. The first examples were constructed by {{harvs|txt|autho ...

In [[algebraic geometry]], a '''Châtelet surface''' is a [[rational surface]] studied by { ...Châtelet (mathematician)| title=Points rationnels sur certaines courbes et surfaces cubiques | url=http://retro.seals.ch/digbib/view?rid=ensmat-001:1959:5::55 ...

{{short description|Constructs the minimal model of a given smooth algebraic surface}} ...to construct the [[minimal model program|minimal model]] of a given smooth algebraic surface. ...

In [[mathematics]], especially in [[algebraic geometry]], a '''quartic surface''' is a [[surface (mathematics)|surface]] ...ich are in fact [[quartic curve]]s over {{tmath|\mathbb{C} }}, and quartic surfaces over {{tmath|\mathbb{R} }}. For instance, the [[Klein quartic]] is a ''real ...

In [[algebraic geometry]], a '''Sarti surface''' is a degree-12 [[nodal surface]] with 600 Sarti has also found sextic, octic and dodectic nodal surfaces with high numbers of nodes and high degrees of symmetry. ...

...ref>M. Elisa G. G. de Oliveira, Some New Examples of Nonorientable Minimal Surfaces, Proceedings of the American Mathematical Society, Vol. 98, No. 4, Dec., 19 ...-Wing Fung, Minimal Surfaces as Isotropic Curves in C3: Associated minimal surfaces and the Björling's problem. MIT BA Thesis. 2004 http://ocw.mit.edu/courses/ ...

In [[algebraic geometry]], '''Reider's theorem''' gives conditions for a [[line bundle]] o Let ''D'' be a [[Nef line bundle|nef]] [[divisor (algebraic geometry)|divisor]] on a smooth projective surface ''X''. Denote by ''K''<s ...

In mathematics, '''Dolgachev surfaces''' are certain [[simply connected space|simply connected]] [[elliptic surfa The Dolgachev surfaces are simply connected, and the bilinear form on the second [[cohomology grou ...

{{for|nodal surfaces in physics and chemistry|Node (physics)}} In [[algebraic geometry]], a '''nodal surface''' is a surface in (usually [[Complex projec ...

...& Tibor Radó, World Scientific, 1992 (p. 239-240)</ref> It is a family of surfaces with one planar [[End (topology)|end]] and one [[Enneper surface]]-like sel ...1680/11/1/26 Erhan Güler and Ömer Kişi, ''(ζ−m, ζm)-Type Algebraic Minimal Surfaces in Three-Dimensional Euclidean Space''] ...

In mathematics, a '''Catanese surface''' is one of the [[surfaces of general type]] introduced by {{harvs|txt|last=Catanese|first=Fabrizio|au ...ere is a group of order 5 [[free group action|acting freely]] on all these surfaces, then the quotient ''Z'' of ''Y'' by this group of order 5 is a Catanese su ...

In [[algebraic geometry]], the '''Barth–Nieto quintic''' is a [[quintic]] [[3-fold]] in 4 ...surfaces with 16 skew lines | mr=1257320 | year=1994 | journal=Journal of Algebraic Geometry | issn=1056-3911 | volume=3 | issue=2 | pages=173–222}} ...

...derburg]], [[Denmark]]) is a German mathematician, known for his work in [[algebraic geometry]]. ...f>{{cite book|author=Göttsche, Lothar|chapter=Hilbert schemes of points on surfaces (arXiv preprint math/0304302 (2003))|title=Proceedings of the ICM, Beijing ...

...'''algebraic fiber space''', as it is an analog of a [[fiber space]] in [[algebraic topology]]. ...irst1=János | last2=Mori | first2=Shigefumi | title=Birational geometry of algebraic varieties | publisher=[[Cambridge University Press]] | series=Cambridge Tra ...

In [[algebraic geometry]], a '''conic bundle''' is an [[algebraic variety]] that appears as a solution to a [[Cartesian equation]] of the for <math>F_{a,P}</math> is the surface obtained as "gluing" of the two surfaces <math>U</math> and <math>U'</math> of equations ...

...topological [[4-manifold]]. It holds more generally for minimal projective surfaces of general type over an algebraically closed field. Let ''X'' be a smooth [[Minimal model (birational geometry)|minimal]] [[Algebraic variety#Projective varieties|projective]] [[surface of general type]] defin ...

...type of [[Singular point of an algebraic variety|singular point]] on an [[algebraic surface]]. *[[Singular point of an algebraic variety]] ...