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Power Sums, Gorenstein Algebras, and Determinantal Loci
Iarrobino, Anthony A.; Kanev, Vassil
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Description for Power Sums, Gorenstein Algebras, and Determinantal Loci
Paperback. Series: Lecture Notes in Mathematics. Num Pages: 388 pages, biography. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 20. Weight in Grams: 1200.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
1999
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
388
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
354
Place of Publication
Berlin, Germany
ISBN
9783540667667
SKU
V9783540667667
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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