Global Theory of Several Complex Variables: Course |
Contents
Frechet Sheaves | 5 |
Approximation Theorems | 14 |
Cohomology on Complex Manifolds | 24 |
16 other sections not shown
Common terms and phrases
algebra analytic polyhedron analytic space assume biholomorphic Choose closed submanifold coherent analytic sheaf cohomology compact connected Reinhardt compact set compact subset complex manifold connected Reinhardt set converges convex Hausdorff space convex hull coordinate bundle coordinate system Corollary Definition denote divisor domain of holomorphy exact sequence f₁ family of pseudonorms Frechet sheaf Frechet space H²(M Hausdorff space hence holomorphic functions holomorphic map holomorphically convex induced irreducible isomorphism Lemma line bundle locally convex Hausdorff log d(x M₂ meromorphic function neighborhood norm Oka-Weil domain open subset plurisubharmonic function Proof Proposition pseudoconvex rational polynomials relatively compact subdomain resp restriction map Riemann domain separates points sheaf of germs sheaves Stein manifold strictly plurisubharmonic subsheaf subvariety Suppose topology defined U₁ unit polycylinder V₁ V₂ vector bundles vector space weak topology z₂