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
Mirror Symmetryby Cumrun Vafa, Eric Zaslow - American Mathematical Society
The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.
(11724 views)
An Introduction to Complex Algebraic Geometryby Chris Peters - Institut Fourier Grenoble
This is an advanced course in complex algebraic geometry presupposing only some familiarity with theory of algebraic curves or Riemann surfaces. The goal is to understand the Enriques classification of surfaces from the point of view of Mori-theory.
(9282 views)
Lectures on Deformations of Singularitiesby Michael Artin - Tata Institute of Fundamental Research
These notes are based on a series of lectures given in 1973. The lectures are centered about the work of M. Scahlessinger and R. Elkik on infinitesimal deformations. Contents: Formal Theory and Computations; Elkik's Theorems on Algebraization.
(7625 views)
Abel's Theorem and the Allied Theoryby H.F. Baker - Cambridge University Press
This classic book covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and theta functions in particular. Many of the ideas put forward are of continuing relevance today.
(6056 views)