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Showing 2011 · math.ACShow all
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math.AC2011★ 10 cited
Shapes of free resolutions over a local ring
Christine Berkesch, Daniel Erman, Manoj Kummini +1
We classify the possible shapes of minimal free resolutions over a regular local ring. This illustrates the existence of free resolutions whose Betti numbers behave in surprisingly…
math.AC2011★ 25 cited
Tensor complexes: Multilinear free resolutions constructed from higher tensors
Christine Berkesch Zamaere, Daniel Erman, Manoj Kummini +1
The most fundamental complexes of free modules over a commutative ring are the Koszul complex, which is constructed from a vector (i.e., a 1-tensor), and the Eagon-Northcott and th…