A motivation for some local cohomologies
classification
🧮 math.AC
math.AG
keywords
localsomemotivesadditionalbarcelonabesidescohomologiescohomology
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We explain how some results of M. Nori (on motives) and F. Ivorra (on perverse motives) can be used to define "motivic" versions of Lyubeznik numbers, a set of numerical invariants for local rings. We also discuss on additional structures that might be put on some local cohomology modules (besides those of D- or F-module). This note is mainly expository, it is an expanded version of my talk at the FACARD workshop in Barcelona, on January 2019.
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