Several complex variables VII. Sheaf-theoretical methods in complex analysis

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Publication date: 28 July 1994

Published in: Encyclopaedia of Mathematical Sciences (Search for Journal in Brave)

Complex analysis Several complex variables

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces (32-06)

Related Items (55)

Points of small height on semiabelian varieties ⋮ Minimal rational curves and 1-flat irreducible G-structures ⋮ On the formal principle for curves on projective surfaces ⋮ Holomorphic Cartan geometries and rational curves ⋮ Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with $S^1$-action ⋮ Gromov-Hausdorff limits of Kähler manifolds and the finite generation conjecture ⋮ Rational endomorphisms of codimension one holomorphic foliations ⋮ Structure of projective varieties with nef anticanonical divisor: the case of log terminal singularities ⋮ Varieties with ample tangent sheaves ⋮ The Hartogs extension phenomenon in toric varieties ⋮ Geometric classification of 4d $ \mathcal{N}=2 $ SCFTs ⋮ Special lines on contact manifolds ⋮ On the restriction formula ⋮ Weak subintegral closure of ideals ⋮ Single-valued Killing fields of a meromorphic affine connection and classification ⋮ Convergence of sewing conformal blocks ⋮ Sewing and propagation of conformal blocks ⋮ On the 4-dimensional minimal model program for Kähler varieties ⋮ Existence of nonconstant CR-holomorphic functions of polynomial growth in Sasakian manifolds ⋮ The complex geometry of a hypothetical complex structure on $S^6$ ⋮ Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology ⋮ Momentum maps and the Kähler property for base spaces of reductive principal bundles ⋮ An extension of slice regular functions in terms of fiber bundle theory ⋮ Uniqueness of tangent cone of Kähler-Einstein metrics on singular varieties with crepant singularities ⋮ A note on resolution of rational and hypersurface singularities ⋮ Model theory of compact complex manifolds with an automorphism ⋮ Algebraic approximations of compact Kähler manifolds of algebraic codimension $1$ ⋮ Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds ⋮ Terminal Fano threefolds and their smoothings ⋮ The topology of the zero locus of a genus 2 theta function ⋮ Equivariant Kodaira embedding for CR manifolds with circle action ⋮ Reflexive modules on normal surface singularities and representations of the local fundamental group ⋮ Unnamed Item ⋮ Unbendable rational curves of Goursat type and Cartan type ⋮ Representation theory for log-canonical surface singularities ⋮ Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds ⋮ Meromorphic groups ⋮ Zariski closures of images of algebraic subsets under the uniformization map on finite-volume quotients of the complex unit ball ⋮ Dolbeault cohomologies of blowing up complex manifolds. II: Bundle-valued case ⋮ The structure of uniruled manifolds with split tangent bundle ⋮ Automorphism groups of Moishezon threefolds ⋮ Bimeromorphic automorphism groups of certain $\mathbb{P}^1$-bundles ⋮ A fiber bundle over the quaternionic slice regular functions ⋮ A nonstandard Riemann existence theorem ⋮ The Dolbeault dga of a formal neighborhood ⋮ Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces ⋮ Links of sandwiched surface singularities and self-similarity ⋮ Semiglobal results for $\overline∂$ on complex spaces with arbitrary singularities, Part II ⋮ An application of Cartan's equivalence method to Hirschowitz's conjecture on the formal principle ⋮ Meromorphic limits of automorphisms ⋮ Fiberwise bimeromorphic maps of conic bundles ⋮ The bounded height conjecture for semiabelian varieties ⋮ On the Moore-Tachikawa varieties ⋮ Coherence of Direct Images of the De Rham Complex ⋮ A note on holomorphic families of Abelian varieties

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