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Minimal Free Resolutions over Complete Intersections (Paperback, 1st ed. 2016)
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Minimal Free Resolutions over Complete Intersections (Paperback, 1st ed. 2016)
Series: Lecture Notes in Mathematics, 2152
Expected to ship within 10 - 15 working days
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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.
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