**Lectures on Deformations of Singularities**

by Michael Artin

**Publisher**: Tata Institute of Fundamental Research 1976**ISBN/ASIN**: B007F7DZS0**Number of pages**: 110

**Description**:

These notes are based on a series of lectures given at the Tata Institute in January-February, 1973. The lectures are centered about the work of M. Scahlessinger and R. Elkik on infinitesimal deformations. Contents: Formal Theory and Computations; Elkik's Theorems on Algebraization.

Download or read it online for free here:

**Download link**

(550KB, PDF)

## Similar books

**Abelian Varieties**

by

**J. S. Milne**

Introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture.

(

**11309**views)

**Algebraic Curves: an Introduction to Algebraic Geometry**

by

**William Fulton**-

**Benjamin**

These notes develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. It assumed that the reader is familiar with some basic properties of rings, ideals, and polynomials.

(

**13955**views)

**Algebraic Geometry**

by

**Andreas Gathmann**-

**University of Kaiserslautern**

From the contents: Introduction; Affine varieties; Functions, morphisms, and varieties; Projective varieties; Dimension; Schemes; First applications of scheme theory; More about sheaves; Cohomology of sheaves; Intersection theory; Chern classes.

(

**12739**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.

(

**4868**views)