**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

**Strings and Geometry**

by

**M. Douglas, J. Gauntlett, M. Gross**-

**American Mathematical Society**

This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.

(

**7757**views)

**Lectures on Siegel's Modular Functions**

by

**H. Maass**-

**Tata Institute of Fundamental Research**

Contents: Modular Group of Degree n; Symplectic group of degree n; Reduction Theory of Positive Definite Quadratic Forms; Fundamental Domain of the Modular Group of Degree n; Modular Forms of Degree n; Algebraic dependence of modular forms; etc.

(

**5921**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.

(

**876**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.

(

**1646**views)