Logo

Lectures notes on compact Riemann surfaces

Small book cover: Lectures notes on compact Riemann surfaces

Lectures notes on compact Riemann surfaces
by

Publisher: arXiv.org
Number of pages: 119

Description:
This is an introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.

Home page url

Download or read it online for free here:
Download link
(2.2MB, PDF)

Similar books

Book cover: Complex Analysis on Riemann SurfacesComplex Analysis on Riemann Surfaces
by - Harvard University
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; etc.
(9787 views)
Book cover: Riemannian Geometry: Definitions, Pictures, and ResultsRiemannian Geometry: Definitions, Pictures, and Results
by - arXiv
A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.
(2573 views)
Book cover: Lectures on Geodesics in Riemannian GeometryLectures on Geodesics in Riemannian Geometry
by - Tata Institute of Fundamental Research
The main topic of these notes is geodesics. Our aim is to give a fairly complete treatment of the foundations of Riemannian geometry and to give global results for Riemannian manifolds which are subject to geometric conditions of various types.
(5377 views)
Book cover: Riemannian GeometryRiemannian Geometry
by
Based on the lecture notes on differential geometry. From the contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.
(4179 views)