Logo

Complex Analysis on Riemann Surfaces

Complex Analysis on Riemann Surfaces
by

Publisher: Harvard University
Number of pages: 89

Description:
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; Line bundles; Curves and their Jacobians; Hyperbolic geometry; Quasiconformal geometry.

Download or read it online for free here:
Download link
(560KB, PDF)

Similar books

Book cover: Complex Analysis for Mathematics and EngineeringComplex Analysis for Mathematics and Engineering
by - Jones & Bartlett Learning
This book presents a comprehensive, student-friendly introduction to Complex Analysis concepts. Its clear, concise writing style and numerous applications make the foundations of the subject matter easily accessible to students.
(19323 views)
Book cover: Complex Integration and Cauchy's TheoremComplex Integration and Cauchy's Theorem
by - Cambridge University Press
This brief monograph offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications ...
(7042 views)
Book cover: Lectures on Stratification of Complex Analytic SetsLectures on Stratification of Complex Analytic Sets
by - Tata Institute of Fundamental Research
Contents: Preliminaries; Some theorems on stratification; Whitney's Theorems (Tangent Cones, Wings, The singular set Sa); Whitney Stratifications and pseudofibre bundles (Pseudo fibre spaces, Obstructions in pseudo-fibrations, etc.).
(6906 views)
Book cover: Elementary Analytic Functions: Complex Functions Theory a-1Elementary Analytic Functions: Complex Functions Theory a-1
by - BookBoon
This is an introductory book on complex functions theory. From the table of contents: Introduction; The Complex Numbers; Basic Topology and Complex Functions; Analytic Functions; Some elementary analytic functions; Index.
(9220 views)