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

by J.P. Murre

**Publisher**: Tata Institute of Fundamental Research 1967**ISBN/ASIN**: B0006C8MRU**Number of pages**: 143

**Description**:

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

Download or read it online for free here:

**Download link**

(690KB, PDF)

## Similar books

**Lectures on Expansion Techniques In Algebraic Geometry**

by

**S.S. Abhyankar**-

**Tata Institute Of Fundamental Research**

From the table of contents: Meromorphic Curves; G-Adic Expansion and Approximate Roots; Characteristic Sequences of a Meromorphic Curve; The Fundamental Theorem and applications; Irreducibility, Newton's Polygon; The Jacobian Problem.

(

**6469**views)

**Stacks Project**

by

**Johan de Jong, et al.**

The stacks project aims to build up enough basic algebraic geometry as foundations for algebraic stacks. This implies a good deal of theory on commutative algebra, schemes, varieties, algebraic spaces, has to be developed en route.

(

**7590**views)

**Geometric Complexity Theory: An Introduction for Geometers**

by

**J.M. Landsberg**-

**arXiv**

This is survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory. The article is written to be accessible to graduate students. Numerous open questions are presented.

(

**5498**views)

**Lectures On Old And New Results On Algebraic Curves**

by

**P. Samuel**-

**Tata Institute Of Fundamental Research**

The aim of this text is to give a proof, due to Hans Grauert, of an analogue of Mordell's conjecture. Contents: Introduction; Algebro-Geometric Background; Algebraic Curves; The Theorem of Grauert (Mordell's conjecture for function fields).

(

**6915**views)