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Power Sums, Gorenstein Algebras, and Determinantal Loci [Paperback]

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Item description for Power Sums, Gorenstein Algebras, and Determinantal Loci by A. Iarrobino Anthony Iarrobino...

This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring's problem. Then the author's recent work is presented mainly on the representation of forms in three or more variables as sums of powers of relatively few linear forms. The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of zero-dimensional subschemes. Of the many concrete examples given, some are calculated with the aid of the computer algebra program "Macaulay", illustrating the abstract material. The final chapter considers open problems. This book will be of interest to graduate students, beginning researchers, and seasoned specialists. Prerequisite is a basic knowledge of commutative algebra and algebraic geometry.



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Item Specifications...


Pages   345
Est. Packaging Dimensions:   Length: 9.2" Width: 5.9" Height: 0.8"
Weight:   1.1 lbs.
Binding  Softcover
Release Date   May 15, 2000
Publisher   Springer
ISBN  3540667660  
ISBN13  9783540667667  


Availability  147 units.
Availability accurate as of Feb 22, 2017 02:42.
Usually ships within one to two business days from La Vergne, TN.
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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Algebra & Trigonometry
2Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
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5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > General
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7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
9Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General



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