Complex analytic variety information

differential geometry and complex geometry, a complex analytic variety or complex analytic space is a generalization of a complex manifold that allows the...

study singular spaces in complex geometry, such as singular complex analytic varieties or singular complex algebraic varieties, whereas in differential...

and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds...

one whose first Chern class vanishes. Complex dimension Complex analytic variety Quaternionic manifold Real-complex manifold One must use the open unit...

Chow's theorem states that a projective complex analytic variety, i.e., a closed analytic subvariety of the complex projective space C P n {\displaystyle...

n-tuples of complex numbers. The name of the field dealing with the properties of these functions is called several complex variables (and analytic space)...

complex-analytic variety. The most common example of a complete variety is a projective variety, but there do exist complete non-projective varieties...

geometry of projective complex varieties. For example, the theory of holomorphic vector bundles (more generally coherent analytic sheaves) on X coincide...

In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of definition of a given analytic function. Analytic...

is a space that is locally the same as an analytic variety. They are prominent in the study of several complex variables, but they also appear in other...

Look up analytic, analytical, or analyticity in Wiktionary, the free dictionary. Analytic or analytical may refer to: Analytical chemistry, the analysis...

field of fractions. In complex geometry the objects of study are complex analytic varieties, on which we have a local notion of complex analysis, through which...

analytics, diagnostic analytics, predictive analytics, prescriptive analytics, and cognitive analytics. Analytics may apply to a variety of fields such as...

Complex dynamics, or holomorphic dynamics, is the study of dynamical systems obtained by iterating a complex analytic mapping. This article focuses on...

real analytic manifolds, although complex manifolds are also analytic. In algebraic geometry, analytic spaces are a generalization of analytic manifolds...

mathematics, the Lelong number is an invariant of a point of a complex analytic variety that in some sense measures the local density at that point. It...

Birational geometry Motive (algebraic geometry) Analytic variety Zariski–Riemann space Semi-algebraic set Fano variety Mnëv's universality theorem Hartshorne,...

particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic...

and complex analytic varieties, and holomorphic vector bundles and coherent sheaves over these spaces. Special examples of spaces studied in complex geometry...

for abelian varieties of dimension d > 1. The problem is at a deeper level of abstraction, because it is much harder to manipulate analytic functions of...

theory of global analytic varieties over complete fields In mathematics, a rigid analytic space is an analogue of a complex analytic space over a nonarchimedean...

in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular complex algebraic variety to its subvarieties. In simple...

between complex analytic spaces. Some authors call a proper variety over a field k a complete variety. For example, every projective variety over a field...

complex algebraic variety. Any complex manifold is an analytic variety. Since analytic varieties may have singular points, not all analytic varieties...

unconscious, as well as into a specialised psychotherapy. Analytical psychology, or "complex psychology", from the German: Komplexe Psychologie, is the...

a complex torus to be an algebraic variety; those that are varieties can be embedded into complex projective space, and are the abelian varieties. The...

note that a real variety may be a manifold and have singular points. For example the equation y3 + 2x2y − x4 = 0 defines a real analytic manifold but has...