**Lectures on Expansion Techniques In Algebraic Geometry**

by S.S. Abhyankar

**Publisher**: Tata Institute Of Fundamental Research 1977**ISBN/ASIN**: B007F6RC0I**Number of pages**: 169

**Description**:

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.

Download or read it online for free here:

**Download link**

(870KB, PDF)

## Similar books

**Introduction to Algebraic Geometry**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology Bombay**

This text is a brief introduction to algebraic geometry. We will focus mainly on two basic results in algebraic geometry, known as Bezout's Theorem and Hilbert's Nullstellensatz, as generalizations of the Fundamental Theorem of Algebra.

(

**8437**views)

**Classical Algebraic Geometry: A Modern View**

by

**Igor V. Dolgachev**-

**Cambridge University Press**

The main purpose of the present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times.

(

**7433**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).

(

**8513**views)

**Lectures on Algebraic Groups**

by

**Alexander Kleshchev**-

**University of Oregon**

Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.

(

**11630**views)