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Applications of Koszul homology to numbers of generators and syzygies

Peter Schenzel
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Abstract

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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Peter Schenzel. 1995-12-11. Applications of Koszul homology to numbers of generators and syzygies. https://arxiv.org/abs/alg-geom/9512008

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