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
Noncommutative Algebraic Geometryby Gwyn Bellamy, et al. - Cambridge University Press
This book provides an introduction to some of the most significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.
(5788 views)
Algorithms in Real Algebraic Geometryby S. Basu, R. Pollack, M. Roy - Springer
The monograph gives a detailed exposition of the algorithmic real algebraic geometry. It is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields.
(18015 views)
Classical Algebraic Geometry: A Modern Viewby Igor V. Dolgachev - Cambridge University Press
The main purpose of the present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times.
(8783 views)
Computations in Algebraic Geometry with Macaulay 2by D. Eisenbud, D. Grayson, M. Stillman, B. Sturmfels - Springer
This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out.
(11750 views)