Complex Analytic and Differential Geometry
by Jean-Pierre Demailly
Publisher: Universite de Grenoble 2007
Number of pages: 571
Description:
From the table of contents: basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles and vanishing theorems, L2 estimates on pseudoconvex manifolds, q-convex spaces and Stein spaces.
Download or read it online for free here:
Download link
(3.6MB, PDF)
Similar books
Lectures on Expansion Techniques In Algebraic Geometryby S.S. Abhyankar - Tata Institute Of Fundamental Research
From the table of contents: Meromorphic Curves; G-Adic Expansion and Approximate Roots; Characteristic Sequences of a Meromorphic Curve; The Fundamental Theorem and applications; Irreducibility, Newton's Polygon; The Jacobian Problem.
(9538 views)
Algebraic Geometryby Andreas Gathmann - University of Kaiserslautern
From the contents: Introduction; Affine varieties; Functions, morphisms, and varieties; Projective varieties; Dimension; Schemes; First applications of scheme theory; More about sheaves; Cohomology of sheaves; Intersection theory; Chern classes.
(15100 views)
Introduction to Stokes Structuresby Claude Sabbah - arXiv
The purpose of these lectures is to introduce the notion of a Stokes-perverse sheaf as a receptacle for the Riemann-Hilbert correspondence for holonomic D-modules. They develop the original idea of P. Deligne in dimension one.
(10421 views)
Algebraic Groups and Discontinuous Subgroupsby Armand Borel, George D. Mostow - American Mathematical Society
The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.
(14854 views)