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Commutative Algebra: with a View Toward Algebraic Geometry

- D. Eisenbud
- Mathematics
- 30 March 1995

Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a… Expand

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities.

- D. Eisenbud, W. Neumann
- Mathematics
- 21 January 1986

This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction… Expand

Homological algebra on a complete intersection, with an application to group representations

- D. Eisenbud
- Mathematics
- 1980

Let R be a regular local ring, and let A = R/(x), where x is any nonunit of R. We prove that every minimal free resolution of a finitely generated A -module becomes periodic of period 1 or 2 after at… Expand

Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3

- D. Buchsbaum, D. Eisenbud
- Mathematics
- 1 June 1977

Binomial Ideals

- D. Eisenbud, B. Sturmfels
- Mathematics
- 11 January 1994

We investigate the structure of ideals generated by binomials (polynomials with at most two terms) and the schemes and varieties associated to them. The class of binomial ideals contains many… Expand

Limit linear series: Basic theory

- D. Eisenbud, Joe W. Harris
- Mathematics
- 1 June 1986

AbstractIn this paper we introduce techniques for handling the degeneration of linear series on smooth curves as the curves degenerate to a certain type of reducible curves, curves of compact type.… Expand

Linear Free Resolutions and Minimal Multiplicity

- D. Eisenbud, S. Goto
- Mathematics
- 1 May 1984

Let S = k[x, ,..., x,] be a polynomial ring over a field and let A4 = @,*-a, M, be a finitely generated graded module; in the most interesting case A4 is an ideal of S. For a given natural number p,… Expand

The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry

- D. Eisenbud
- Mathematics
- 1 December 2004

Preface: Algebra and Geometry * Free Resolutions and Hilbert Functions * First Examples of Free Resolutions * Points in P^2 * Castelnuovo-Mumford Regularity * The Regularity of Projective Curves *… Expand

The Geometry Of Schemes

- D. Eisenbud, Joe W. Harris
- Mathematics
- 9 April 1992

1 Basic Definitions 2 Examples 3 Projective Schemes 4 Classical Constructions 5 Local Constructions 6 Schemes and Functors

An Algebraic Formula for the Degree of a C ∞ Map Germ

- D. Eisenbud, H. Levine, B. Teissier
- Mathematics
- 1 July 1977

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