Logo

Lectures on Birational Geometry

Small book cover: Lectures on Birational Geometry

Lectures on Birational Geometry
by

Publisher: arXiv
Number of pages: 85

Description:
Lecture notes of a course on birational geometry. 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, pl flips and extension theorems, existence of minimal models and Mori fibre spaces, global finite generation, etc.

Home page url

Download or read it online for free here:
Download link
(630KB, PDF)

Similar books

Book cover: Abelian VarietiesAbelian Varieties
by
Introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture.
(7917 views)
Book cover: Algebraic geometry and projective differential geometryAlgebraic geometry and projective differential geometry
by - arXiv
Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.
(10249 views)
Book cover: Current Developments in Algebraic GeometryCurrent Developments in Algebraic Geometry
by - Cambridge University Press
An introductory panorama of current progress in the field, addressed to both beginners and experts. This volume offers expository overviews of the state of the art in many areas of algebraic geometry. Prerequisites are kept to a minimum ...
(2562 views)
Book cover: An Introduction to Complex Algebraic GeometryAn Introduction to Complex Algebraic Geometry
by - 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.
(5840 views)