**Algebraic Geometry over the Complex Numbers**

by Donu Arapura

**Publisher**: Purdue University 2009**Number of pages**: 234

**Description**:

Algebraic geometry is the geometric study of sets of solutions to polynomial equations over a field (or ring). In this book the author have tried to maintain a reasonable balance between rigor, intuition and completeness; so it retains some of the informal quality of lecture notes.

Download or read it online for free here:

**Download link**

(1.6MB, PDF)

## Similar books

**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.

(

**8853**views)

**Algebraic geometry and projective differential geometry**

by

**Joseph M. Landsberg**-

**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.

(

**11450**views)

**Multiplication of Vectors and Structure of 3D Euclidean Space**

by

**Miroslav Josipovic**-

**viXra**

This text is a motivational survey of geometric algebra in 3D. The intention here was to use simple examples and reader is referred to the independent problem solving. The active reading of text is recommended, with paper and pencil in hand.

(

**2243**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.

(

**2791**views)