**Lectures on Birational Geometry**

by Caucher Birkar

**Publisher**: arXiv 2012**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.

Download or read it online for free here:

**Download link**

(630KB, PDF)

## Similar books

**Algebraic Groups and Discontinuous Subgroups**

by

**Armand Borel, George D. Mostow**-

**American Mathematical Society**

The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.

(

**9548**views)

**Strings and Geometry**

by

**M. Douglas, J. Gauntlett, M. Gross**-

**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.

(

**8181**views)

**Homogeneous Spaces and Equivariant Embeddings**

by

**Dmitri A. Timashev**-

**arXiv**

A monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, the other are cited with references to the original papers. The style is intermediate between survey and detailed monograph.

(

**6695**views)

**Ample Subvarieties of Algebraic Varieties**

by

**Robin Hartshorne**-

**Springer**

These notes are an enlarged version of a three-month course of lectures. Their style is informal. I hope they will serve as an introduction to some current research topics, for students who have had a one year course in modern algebraic geometry.

(

**2297**views)