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1.
R. Huber 《Compositio Mathematica》1998,112(2):217-235
We show that, for certain types of rigid analytic varieties X and constructible l-adic sheaves (Fn)n on, one has
. As an application we obtain that, for an algebraic variety X and associated rigid analytic variety Xrig, the l-adic cohomology of X and Xrig agree. 相似文献
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S. Turner 《Inventiones Mathematicae》1990,101(1):57-62
Partially supported by CNPq (Brasil) and NSF (USA), DMOS-8120790 相似文献
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Luc Illusie 《Japanese Journal of Mathematics》2006,1(1):107-136
We discuss classical questions concerning traces of elements of Galois groups or correspondences in ℓ-adic cohomology, mostly
over finite or local fields, such as rationality and independence of ℓ, integrality, congruences modulo powers of ℓ or p. We report on the progress that has been made on this topic during the past ten years. 相似文献
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Marc Chardin Kamran Divaani-Aazar 《Proceedings of the American Mathematical Society》2008,136(8):2749-2754
We prove a duality theorem for graded algebras over a field that implies several known duality results: graded local duality, versions of Serre duality for local cohomology and of Suzuki duality for generalized local cohomology, and Herzog-Rahimi bigraded duality.
8.
Vladimir G. Berkovich 《Israel Journal of Mathematics》1995,92(1-3):45-59
Let ϕ:Y →X be a morphism of finite type between schemes of locally finite type over a non-Archimedean fieldk, and letF be an étale constructible sheaf onY. In [Ber2] we proved that if the torsion orders ofF are prime to the characteristic of the residue field ofk then the canonical homomorphisms (R
Q
ϱ*F)an →R
q
ϱ
*
an
F
an are isomorphisms. In this paper we extend the above result to the class of sheavesF with torsion orders prime to the characteristic ofk. 相似文献
9.
Walter Leighton 《Journal of Mathematical Analysis and Applications》1985,106(1):188-195
The existence of an explosive singularity in the unsteady boundary layer on a rotating disc in a counter-rotating fluid has now been shown incontrovertibly following the work of K. Stewartson, C. J. Simpson, and R. J. Bodonyi (J. Fluid. Mech.121 (1982), 507–515). Here, we develop some asymptotic results for the governing differential equations to help gain an understanding of the mechanism behind this phenomenon. No definite conclusions are possible, but the presence of inertial oscillations at the edge of the boundary layer could well play a definite role. 相似文献
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Masoud Khalkhali 《K-Theory》1994,8(4):435-442
We prove the Lie action of Hochschild cohomology on entire cyclic cohomology is trivial. This, in particular, should imply the invariance of entire theory under suitable deformations. 相似文献
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Joyce O'Halloran 《代数通讯》2013,41(14):1603-1606
13.
We prove a ‘minimal’ type automorphy lifting theorem for 2-adic Galois representations of unitary type, over imaginary CM fields. We use this to improve an automorphy lifting theorem of Kisin for \({{\mathrm{GL}}}_2\). 相似文献
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LetX be a complex manifold with finitely many ends such that each end is eitherq-concave or (n−q)-convex. If
, then we prove thatH
pn−q
(X) is Hausdorff for allp. This is not true in general if
(Rossi’s example withn=2 andq=1). If all ends areq-concave, then this is the classical Andreotti-Vesentini separation theorem (and holds also for
). Moreover the result was already known in the case when theq-concave ends can be ‘filled in’ (again also for
). To prove the result we first have to study Serre duality for the case of more general families of supports (instead of
the family of all closed sets and the family of all compact sets) which is the main part of the paper. At the end we give
an application to the extensibility of CR-forms of bidegree (p, q) from (n−q)-convex boundaries,
.
This research was partially supported by TMR Research Network ERBFMRXCT 98063. 相似文献
16.
Moulay-Tahar Benameur 《Mathematische Annalen》2002,323(1):97-121
Any closed current on the base of a compact fibration gives rise to a cyclic cocycle on the smooth convolution algebra. We
prove that such cocycle furnishes additive maps from the vertically equivariant K-theory to the scalars. This enables to associate to any closed current on the base of the fibration, a Lefschetz formula
for fiber-preserving isometries. Using geometric operators on the base, we deduce the integrality of some characteristic numbers.
Received: 28 June 2001 / Published online: 1 February 2002 相似文献
17.
We give a cohomological interpretation of the Brauer group of a coalgebra in terms of Galois coextensions and Galois cohomology. There is a crossed coproduct structure theorem, and the co-version of the classical splitting theorem holds for the Brauer group of an irreducible coreflexive coalgebra but it does not hold in general. 相似文献
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The main purpose of this paper is to generalize the celebrated L~2 extension theorem of Ohsawa and Takegoshi in several directions: The holomorphic sections to extend are taken in a possibly singular hermitian line bundle, the subvariety from which the extension is performed may be non reduced, the ambient manifold is K¨ahler and holomorphically convex, but not necessarily compact. 相似文献