[PDF] Top 20 The support of local cohomology modules

... locus of primes for which this is surjective. We show that these two loci are Zariski closed by describing explicitly the defining ideals of these loci, and we use these to describe the defining ideal of the (Zariski ... See full document

... every local cohomology module (with respect to any ideal) of a finitely generated module over a local Noetherian ring has only finitely many associated ...in support of the weaker conjecture ... See full document

... Remark 4.12. One approach to generalizing Theorem 4.8 is to find an F -submodule M of H c I (R) such that none of the composition factor of M has 0-dimensional support and the support of H c I (R)/M is ... See full document

... of local cohomology supported at determinantal ideals has been a major topic of research under various viewpoints (see for example [26], [29], [30] and ... See full document

... of modules over a diagram of rings on which a finite group ...of modules over an equivariant diagram of rings and the fundamental descent adjunction is ...extended modules contains information on ... See full document

... -finite modules to describe in a very down-to-earth manner certain annihilator submodules of some top local cohomology modules over Gorenstein ... See full document

... 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 ... See full document

... 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 ... See full document

... five modules, which aimed to provide students with the opportunity to engage with and develop solutions for a key business, economic or community issue faced by the City of Bristol ...The modules included ... See full document

... 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] ... See full document

... In this note, we show that under some assumption, generalized local cohomology modules are Artinian. Throughout this paper R and R 0 are two commutative Noetherian rings such that R 0 is local ... See full document

... Example 2.3 . In Theorem 2.2, the assumption S is Melkersson subcategory is necessary. To see this, let (R, m) be a local ring, and let M be a non-zero, finitely generated R-module of dimension n > 0. Then H m ... See full document

... 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 ... See full document

... about local cohomology modules and their natural Frobenius actions in terms of R-linear maps of Noetherian modules into their Frobenius ... See full document

... We will need the following to deal with N -truncations, which basically says that for some large enough N , we only need the N -skeleton in the calculations of cohomologies on simplicial objects (such as for rigid ... See full document

... Crossed modules over groups are introduced by Whitehead [10] (see also [1] Ch. IV, [6]). The problem of group extensions of the type of a crossed module presented in [2]. This closely relates to the problem of ... See full document

... Abstract. Let R be a local ring with maximal ideal m admitting a non-zero element a ∈ m for which the ideal (0 : a) is isomorphic to R/aR. We study minimal free resolutions of finitely generated R-modules M ... See full document

... the best performance in terms of achieving taxpayer satisfaction level. Registered taxpayers have the right to obtain tax information services such as: socialization, education, consultation, class-tax, or other forms of ... See full document

... While there was now a concrete conjecture relating special values of L-functions to cohomology groups of X, the algebraic factors were still unexplained. Finally, in the early 1990s, work by Bloch-Kato, ... See full document

... The cohomology groups of the vector bundle, which yield the low energy spectrum, are computed using the Leray spectral sequence and fit the requirements of particle ...relevant cohomology groups and ... See full document