Stein manifold information

manifolds, a Stein manifold is a complex submanifold of the vector space of n complex dimensions. They were introduced by and named after Karl Stein (1951)...

submanifold of a Stein manifold is a Stein manifold, too. The embedding theorem for Stein manifolds states the following: Every Stein manifold X of complex...

complex manifolds that act very much like affine complex algebraic varieties, called Stein manifolds. A manifold X {\displaystyle X} is Stein if it is...

Karl Stein may refer to: Karl Stein (politician) Karl Stein (mathematician), eponym of Stein manifold This disambiguation page lists articles about people...

just a point. Complex manifolds that can be embedded in Cn are called Stein manifolds and form a very special class of manifolds including, for example...

theorems A and B on Stein manifolds. Let N {\displaystyle {\mathcal {N}}} denote the sheaf of Nash function germs on a Nash manifold M, and I {\displaystyle...

restriction on M will be required. The problem can always be solved on a Stein manifold. The first Cousin problem may be understood in terms of sheaf cohomology...

In mathematics, a CR manifold, or Cauchy–Riemann manifold, is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface...

three-manifolds, and by Lenhard Ng to define invariants of knots. It was also used by Yakov Eliashberg to derive a topological characterization of Stein manifolds...

Complex projective space Kähler manifold Dolbeault operator CR manifold Stein manifold Almost complex structure Hermitian manifold Newlander–Nirenberg theorem...

Singularity theory Newton polygon Weil conjectures Kähler manifold Calabi–Yau manifold Stein manifold Hodge theory Hodge cycle Hodge conjecture Algebraic geometry...

complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann...

boundary ∂ W = X {\displaystyle \partial W=X} . A Stein filling of a contact manifold (X,ξ) is a Stein manifold W which has X as its strictly pseudoconvex boundary...

are used to describe pseudoconvex domains, domains of holomorphy and Stein manifolds. The main geometric application of the theory of plurisubharmonic functions...

Cipher Department of the High Command of the Wehrmacht. Discoverer of Stein manifold. Gisbert Hasenjaeger German, Tester of the Enigma. Discovered new proof...

{\mathcal {E}}(M)} is a Brauner space. Let M {\displaystyle M} be a Stein manifold and O ( M ) {\displaystyle {\mathcal {O}}(M)} the Fréchet space of all...

In 1990 he discovered a complete topological characterization of Stein manifolds of complex dimension greater than 2. Eliashberg classified contact...

n {\displaystyle \mathbb {C} ^{n}} and all Stein manifolds. A holomorphically separable complex manifold is not compact unless it is discrete and finite...

complex geometry, Cartan's theorem A says that every coherent sheaf on a Stein manifold is globally generated. A line bundle L on a proper scheme over a field...

for the second Cousin problem. Behnke–Stein theorem Levi pseudoconvex solution of the Levi problem Stein manifold Steven G. Krantz. Function Theory of...

Science Foundation for the period 2019–2022 on the topic "Flexible Stein Manifolds and Fukaya Categories". Von Neumann Fellow, Institute for Advanced...

Another example: according to Cartan's theorem A, any coherent sheaf on a Stein manifold is spanned by global sections. (cf. Serre's theorem A below.) In the...

results in this area such as the biholomorphic embedding theorem for a Stein manifold as a closed submanifold in C n {\displaystyle \mathbb {\mathbb {C} }...