**Current Developments in Algebraic Geometry**

by Lucia Caporaso, et al.

**Publisher**: Cambridge University Press 2012**ISBN/ASIN**: 052176825X**ISBN-13**: 9780521768252**Number of pages**: 438

**Description**:

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, making the book accessible to a broad range of mathematicians.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Geometry Unbound**

by

**Kiran S. Kedlaya**

This is not a typical math textbook, it does not present full developments of key theorems, but it leaves strategic gaps in the text for the reader to fill in. The original text underlying this book was a set of notes for the Math Olympiad Program.

(

**10047**views)

**Mirror Symmetry**

by

**Cumrun Vafa, Eric Zaslow**-

**American Mathematical Society**

The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.

(

**7905**views)

**Lectures on the topological recursion for Higgs bundles and quantum curves**

by

**Olivia Dumitrescu, Motohico Mulase**-

**arXiv**

The paper aims at giving an introduction to the notion of quantum curves. The main purpose is to describe the discovery of the relation between the topological recursion and the quantization of Hitchin spectral curves associated with Higgs bundles.

(

**2138**views)

**Lectures on Algebraic Groups**

by

**Alexander Kleshchev**-

**University of Oregon**

Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.

(

**7187**views)