Sheaf cohomology and endomorphisms · Question 2
Macaulay2: expanded functionality and improved efficiency · Historical workshop question
Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/macaulay2efie/ Not an author-supplied MSC code.
Problem statement
Can we compute all the degree-0 (or degree-≤ e) homomorphisms of a graded module M without computing the entirety of End M? What are other ways to speed up the decomposition of modules into indecomposable summands? If M is the direct sum of and , how can we extract and from without recalculating?
Lean 4
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Background
Question context
There is preliminary code to decompose a module into indecomposables, but it would benefit from being much faster. Right now the bottleneck is the computation of the endomorphisms of module M.
Progress & source assessment
Historical workshop record. Current open/solved status has not been independently reassessed.
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- [1]Macaulay2: expanded functionality and improved efficiency link
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Discussion
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