Applications of Koszul homology to numbers of generators and syzygies

Mathematics – Commutative Algebra

Scientific paper

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To appear in J. Pure Appl. Algebra, LaTeX2e

Scientific paper

Several spectral sequence techniques are used in order to derive information
about the structure of finite free resolutions of graded modules. These results
cover estimates of the minimal number of generators of defining ideals of
projective varieties. There are also investigations about the shifts and the
dimension of Betti numbers.

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