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Minimal Free Resolutions over Complete Intersections
Irena Peeva
€ 65.73
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Description for Minimal Free Resolutions over Complete Intersections
Paperback. Series: Lecture Notes in Mathematics. Num Pages: biography. BIC Classification: PBC; PBF; PBMW; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155. .
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide ... Read more
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
107
Place of Publication
Cham, Switzerland
ISBN
9783319264363
SKU
V9783319264363
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Minimal Free Resolutions over Complete Intersections
The text provides a wonderful introduction describing the background which led to the development of higher matrix factorizations and includes (with proofs and examples) all the theory required to understand the new material and put it in context. (Benjamin P. Richert, Mathematical Reviews, May, 2017)