Minimal Free Resolutions over Complete Intersections: Lecture Notes in Mathematics, cartea 2152
Autor David Eisenbud, Irena Peevaen Limba Engleză Paperback – 9 mar 2016
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 range of mathematical fields, from singularity theory to mathematical physics.
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Specificații
ISBN-13: 9783319264363
ISBN-10: 3319264362
Pagini: 107
Ilustrații: X, 107 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.18 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3319264362
Pagini: 107
Ilustrații: X, 107 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.18 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Cham, Switzerland
Public țintă
ResearchRecenzii
“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)
Textul de pe ultima copertă
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 range of mathematical fields, from singularity theory to mathematical physics.
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 range of mathematical fields, from singularity theory to mathematical physics.
Caracteristici
Includes supplementary material: sn.pub/extras