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: Lectures on Logarithmic Algebraic GeometryLectures on Logarithmic Algebraic Geometry
by - University of California, Berkeley
Logarithmic geometry deals with two problems in algebraic geometry: compactification and degeneration. Contents: The geometry of monoids; Log structures and charts; Morphisms of log schemes; Differentials and smoothness; De Rham and Betti cohomology.
(13902 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.
(11328 views)
Book cover: Lectures on Curves on Rational and Unirational SurfacesLectures on Curves on Rational and Unirational Surfaces
by - Tata Institute of Fundamental Research
From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.
(9367 views)
Book cover: Strings and GeometryStrings and Geometry
by - American Mathematical Society
This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.
(13691 views)