Minimal Free Resolutions over Complete Intersections [electronic resource] / by David Eisenbud, Irena Peeva.
Material type:
TextSeries: Lecture Notes in Mathematics ; 2152Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Edition: 1st ed. 2016Description: X, 107 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319264370Subject(s): Commutative algebra | Commutative rings | Algebraic geometry | Category theory (Mathematics) | Homological algebra | Mathematical physics | Commutative Rings and Algebras | Algebraic Geometry | Category Theory, Homological Algebra | Theoretical, Mathematical and Computational PhysicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 512.44 LOC classification: QA251.3Online resources: Click here to access online
In:
Springer Nature eBookSummary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK15740 |
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.
There are no comments on this title.