Free Resolutions in Commutative Algebra and Algebraic Geometry

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Overview

The selected contributions in this volume originated at the Sundance conference, which was devoted to discussions of current work in the area of free resolutions. The papers include new research, not otherwise published, and expositions that develop current problems likely to influence future developments in the field.
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Editorial Reviews

Booknews
Developed from discussions at a small and informal conference in Sundance, Utah, May 1990, these papers treat basic questions about the relations between the systems of linear equations in a resolution; Green's conjecture and some variants of it; and other topics. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780867202854
  • Publisher: Taylor & Francis
  • Publication date: 11/2/1992
  • Series: Research Notes in Mathematics Series , #2
  • Pages: 160
  • Product dimensions: 6.00 (w) x 8.90 (h) x 0.50 (d)

Table of Contents

Contributors
Introduction
Structure and Size of Free Resolutions 1
Problems on infinite free resolutions 3
Problems on Betti numbers of finite length modules 25
Multiplicative structures on finite free resolutions 35
Wonderful rings and awesome modules 47
Green's Conjecture 49
Green's conjecture: an orientation for algebraists 51
Some matrices related to Green's conjecture 79
Other Topics 91
Problems on local cohomology 93
Recent work on Cremona transformations 109
The homological conjectures 121
Remarks on residual intersections 133
Some open problems in invariant theory 139
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