Logo

Complex Analytic and Differential Geometry

Small book cover: Complex Analytic and Differential Geometry

Complex Analytic and Differential Geometry
by

Publisher: Universite de Grenoble
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

Book cover: Algebraic Curves: an Introduction to Algebraic GeometryAlgebraic Curves: an Introduction to Algebraic Geometry
by - Benjamin
These notes develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. It assumed that the reader is familiar with some basic properties of rings, ideals, and polynomials.
(15517 views)
Book cover: Quasi-Projective Moduli for Polarized ManifoldsQuasi-Projective Moduli for Polarized Manifolds
by - Springer
This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms.
(11343 views)
Book cover: Lectures on Expansion Techniques In Algebraic GeometryLectures on Expansion Techniques In Algebraic Geometry
by - 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.
(9171 views)
Book cover: Lectures on Birational GeometryLectures on Birational Geometry
by - arXiv
Topics covered: introduction into the subject, contractions and extremal rays, pairs and singularities, Kodaira dimension, minimal model program, cone and contraction, vanishing, base point freeness, flips and local finite generation, etc.
(8444 views)