An algorithmic approach to resolutions

Edward L. Green; {\O}yvind Solberg

An algorithmic approach to resolutions

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arxiv math/0509020 v1 pith:X4EXQYVU submitted 2005-09-01 math.KT math.RA

Edward L. Green , {O}yvind Solberg This is my paper · ORCID

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keywords resolutionsalgebrasalgorithmicmodulesprojectivealgorithmapproachconstruct

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We provide an algorithmic method for constructing projective resolutions of modules over quotients of path algebras. This algorithm is modified to construct minimal projective resolutions of linear modules over Koszul algebras.

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Line Bundle Resolutions via the Coherent-Constructible Correspondence
math.AG 2024-11 accept novelty 6.0 of 10

On smooth projective toric varieties, every coherent sheaf has a minimal line bundle resolution of length at most the dimension, and for toric subvarieties the Betti numbers are compactly supported cohomology groups o...

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