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- W4313481845 abstract "Let R be a finitely generated positively graded algebra over a Noetherian local ring B, and $${mathfrak {m}}= [R]_+$$ be the graded irrelevant ideal of R. We provide a local criterion characterizing the B-freeness of all the local cohomology modules $$text {H}_{{mathfrak {m}}}^i(M)$$ of a finitely generated graded R-module M. We show that fiber-full modules are exactly the ones that satisfy this criterion. When we change B by an arbitrary Noetherian ring A, we study the fiber-full locus of a module in $${text {Spec}}(A)$$ : we show that the fiber-full locus is always an open subset of $${text {Spec}}(A)$$ and that it is dense when A is generically reduced." @default.
- W4313481845 created "2023-01-06" @default.
- W4313481845 creator A5088606222 @default.
- W4313481845 date "2023-01-02" @default.
- W4313481845 modified "2023-09-26" @default.
- W4313481845 title "Fiber-full modules and a local freeness criterion for local cohomology modules" @default.
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- W4313481845 doi "https://doi.org/10.1007/s00209-022-03190-6" @default.
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