**Computations in Algebraic Geometry with Macaulay 2**

by D. Eisenbud, D. Grayson, M. Stillman, B. Sturmfels

**Publisher**: Springer 2001**ISBN/ASIN**: 3540422307**ISBN-13**: 9783540422303**Number of pages**: 343

**Description**:

This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications.

Download or read it online for free here:

**Download link**

(1.4MB, PDF)

## Similar books

**Lectures on Torus Embeddings and Applications**

by

**Tadao Oda**-

**Tata Institute of Fundamental Research**

Theory of torus embeddings has find many applications. The point of the theory lies in its ability of translating meaningful algebra-geometric phenomena into very simple statements about the combinatorics of cones in affine space over the reals.

(

**4675**views)

**Determinantal Rings**

by

**Winfried Bruns, Udo Vetter**-

**Springer**

Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. The book gives a coherent treatment of the structure of determinantal rings. The approach is via the theory of algebras with straightening law.

(

**5625**views)

**Lectures on Curves on Rational and Unirational Surfaces**

by

**Masayoshi Miyanishi**-

**Tata Institute of Fundamental Research**

From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.

(

**4419**views)

**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.

(

**7763**views)