Sequentially Cohen-Macaulay modules and local cohomology
classification
🧮 math.AC
keywords
cohen-macaulaycohomologylocalmodulessequentiallycharacteristiccoincidefield
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The main result of the paper states that for a graded ideal I in a polynomial ring R over a field of characteristic 0, the Hilbert functions of the local cohomology modules of R/I and of R/Gin(I) coincide if and only if R/I is sequentially Cohen-Macaulay.
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