top local cohomology modules
The support of local cohomology modules
... Local cohomology is a powerful tool introduced by Alexander Grothendieck in the 1960’s ([Har67]) and it has since yielded many geometric and al- gebraic ...R, local cohomology modules H ...
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D-module and F-module length of local cohomology modules
... the degree of the generators of I. In characteristic p > 0 we obtain upper and lower bounds on the F -module length in terms of the dimensions of Frobenius stable parts and the number of special primes of local ...
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Attached primes and annihilators of top local cohomology modules defined by a pair of ideals
... usual local cohomology modules, the local cohomology modules with respect to a system of ideals was introduced, in ...extended modules, in ...
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Minimaxness and finiteness properties of local homology and local cohomology modules
... of local homology modules and by Matlis duality we extend some results for the minimaxness and finiteness of local cohomology ...that local homology and local cohomology ...
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Strong F-regularity and generating morphisms of local cohomology modules
... In this paper we deal with the property of strong F-regularity as well as the detection of an explicit generating morphism (in the sense of Lyubeznik [25]) for certain local cohomology modules. As ...
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F-stable submodules of top local cohomology modules of Gorenstein rings
... -finite modules to describe in a very down-to-earth manner certain annihilator submodules of some top local cohomology modules over Gorenstein ...
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Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals
... ordinary local cohomology modules, Takahashi, Yoshino and Yoshizawa [16] introduced the local cohomology modules with respect to a pair of ideals (I, ...
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Upper bounds and attached primes of top local cohomology modules
... of top local cohomology modules Recall that R is a Noetherian local ring with maximal ideal m, I, J are ideals of R and M is a non-zero finitely generated R-module of dimension ...of ...
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The support of top graded local cohomology modules
... non-top local cohomology modules might also have finitely many minimal associated primes; the only examples known to me of non-top local cohomology modules with ...
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Some properties of top graded local cohomology modules
... In this section we study the cohomological Hilbert functions arising from an example first studied by A. Singh in [S]; the example was also studied in [BKS, § 2], where the asymptotic behaviour of the sets of associated ...
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Associated primes of graded components of local cohomology modules
... module M over a standard positively graded commutative Noetherian ring R, with respect to the irrelevant ideal R+, is itself graded; all its graded components are finitely generated modu[r] ...
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Global parameter test ideals
... about local cohomology modules and their natural Frobenius actions in terms of R-linear maps of Noetherian modules into their Frobenius ...
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A Note on Artinianess of Certain Generalized
... generalized local cohomology modules have some similar properties as ordinary local cohomology ...generalized local cohomology modules which we need in this ...
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An example of an infinite set of associated primes of a local cohomology module
... of local cohomology modules defined over local rings and over k-algebras (where k is a field) has remained open until ...a local cohomology module of a local finitely ...
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Philosophical insights in system modelling : an application to the field of innovation systems
... By contrast, the perception of RISs in a nation-oriented view is based on reductionism (Rafferty, 2007; Schiere et al., 1999) and positivism (Schwaninger, 2006). The focus of this view is on the priority of national ...
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On the Tamagawa Number Conjecture for motives attached to modular forms
... The subject of this thesis is the TNC in the case Beilinson studied, when X is associated to a modular form. Because the conjectures involve K-groups, which are not known to be finitely generated in any reasonable ...
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7.1 General 7.2 Preview 7.3 Scan Engine Cloning Preferences File Modules Top Level File Modules Preferences
... After completing a scan and before recovering a large number of files, it is highly recommended to first try and recover only a few of your important files to make sure they contain good[r] ...
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Grothendieck Serre Formula Survey
... In section 4, we present several applications of the GSF for Rees algebra and associated graded ring of an ideal. The first application due to J. D. Sally, who pioneered these techniques for the study of Hilbert-Samuel ...
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Vector bundle extensions, sheaf cohomology, and the heterotic standard model
... actual cohomology groups which correspond to the massless modes of the Dirac operator, and not just their alternating ...the cohomology groups of V and ∧ 2 V in the remainder of this section, and then ...
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A Comparison of p adic Motivic Cohomology and Rigid Cohomology
... crystalline cohomology is a good cohomology theory (see [Ber74] and [BO78]), and can be computed as the hypercohomology of the de Rham-Witt complex W Ω • X/k by [Ill79, Proposition ...
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