**Lectures on Moduli of Curves**

by D. Gieseker

**Publisher**: Tata Institute of Fundamental Research 1982**ISBN/ASIN**: 3540119531**Number of pages**: 88

**Description**:

These lecture notes are based on some lectures given in 1980. The object of the lectures was to construct a projective moduli space for stable curves of genus greater than or equal two using Mumford's geometric invariant theory.

Download or read it online for free here:

**Download link**

(430KB,PDF)

## Similar books

**From D-modules to Deformation Quantization Modules**

by

**Pierre Schapira**-

**UPMC**

The aim of these lecture notes is first to introduce the reader to the theory of D-modules in the analytical setting and also to make a link with the theory of deformation quantization (DQ for short) in the complex setting.

(

**2946**views)

**Lectures on An Introduction to Grothendieck's Theory of the Fundamental Group**

by

**J.P. Murre**-

**Tata Institute of Fundamental Research**

The purpose of this text is to give an introduction to Grothendieck's theory of the fundamental group in algebraic geometry with the study of the fundamental group of an algebraic curve over an algebraically closed field of arbitrary characteristic.

(

**4508**views)

**Lectures on Deformations of Singularities**

by

**Michael Artin**-

**Tata Institute of Fundamental Research**

These notes are based on a series of lectures given in 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.

(

**4548**views)

**Analysis on Homogeneous Spaces**

by

**Ralph Howard**-

**Royal Institute of Technology Stockholm**

The main goal of these notes is to give a proof of the basic facts of harmonic analysis on compact symmetric spaces and then to apply these to concrete problems involving things such as the Radon and related transforms on these spaces.

(

**4484**views)