共查询到20条相似文献,搜索用时 62 毫秒
1.
Mladen Božičević 《Mediterranean Journal of Mathematics》2007,4(4):407-418
Let G be a real Lie group acting on real analytic manifold with finitely many orbits. We prove that the characteristic cycle map
is a surjective homomorphism from the K-group of G-equivariant sheaves on X to the top homology group of the conormal variety of the G-action on X. We also show that the top homology group of the G-action on X is a free -module of rank equal to the number of G-orbits.
This work was completed with the support of the Ministry of Science, Education and Sport of Croatia, and Infodesign d.o.o.,
Varaždin. 相似文献
2.
Paul Arne ?stv?r 《K-Theory》2004,31(4):345-355
Let X be a connected based space and p be a two-regular prime number. If the fundamental group of X has order p, we compute the two-primary homotopy groups of the homotopy fiber of the trace map A(X) → TC(X) relating algebraic K-theory of spaces to topological cyclic homology. The proof uses a theorem of Dundas and an explicit calculation of the cyclotomic
trace map K(ℤ[Cp])→ TC(ℤ[Cp]). 相似文献
3.
Let X be a compact symplectic manifold, K a compact group acting symplectically on X, and assume there is a moment map. In [3], Kirwan defined a stratification on X, and showed that the associated spectral sequence degenerates. In this note, we ask whether this degeneration comes from
a stable splitting of X into Thom spaces on the strata. One can also ask a related arithmetic question. Is it true that the splitting Kirwan discovered
respects the action of Galois groups?
Received: 20 March 1997 相似文献
4.
Assume F is a homotopy invariant pseudo pretheory with torsion values and X is a smooth scheme of finite type over a field k. We show for certain field extensions k⊆K the map F(X)→F(X
K
) is an isomorphism.
Mathematics Subject Classification (2000) 14A99 相似文献
5.
Let X be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli scheme of rank-2 bundles. We show that up to isomorphism, there is only one (up to tensoring by an order two line bundle) semi-stable vector bundle of rank 2 (with determinant equal to a theta characteristic) whose Frobenius pull-back is not semi-stable. The indeterminacy of the Frobenius map at this point can be resolved by introducing Higgs bundles. 相似文献
6.
We will consider global problems in the ringK[X
1, …,X
n] on the polynomials with coefficients in a subfieldK ofC.
LetP=(P
1, …,P
n):K
n
→K
n be a polynomial map such that (P
1,…,P
n) is a quasi-regular sequence generating a proper ideal, the main thing we do is to use the algebraic residues theory (as
described in [5]) as a computational tool to give some result to test when a map (P
1, …,P
n) is a proper map by computing a finite number of residue symbols. 相似文献
7.
Yildiray Ozan 《Journal of Pure and Applied Algebra》2002,170(2-3)
Assume that X is a compact connected orientable nonsingular real algebraic variety with an algebraic free S1-action so that the quotient Y=X/S1 is also a real algebraic variety. If π : X→Y is the quotient map then the induced map between reduced algebraic K-groups, tensored with
,
is onto, where
,
denoting the ring of entire rational (regular) functions on the real algebraic variety X, extending partially the Bochnak–Kucharz result that
for any real algebraic variety X. As an application we will show that for a compact connected Lie group G
. 相似文献
Full-size image
Full-size image
8.
José M. Tornero 《Mathematische Nachrichten》2008,281(10):1511-1519
In this paper we study the Kummer extensions K ′ of a power series field K = k ((X1, …, Xr)), where k is an algebraically closed field of arbitrary characteristic, with special emphasis in the case where K ′ is generated by a Puiseux power series. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
9.
Priska Jahnke Thomas Peternell Ivo Radloff 《Central European Journal of Mathematics》2011,9(3):449-488
In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify
smooth complex projective threefolds Xwith −K
X
big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X
+ are not both birational. 相似文献
10.
11.
Let X be a real uniformly smooth and uniformly convex Banach space with dual X *. Let A: X → X * be a bounded uniformly submonotone map. It is proved that a Mann-type approximation sequence converges strongly to Jx * where x * ∈ N(A). Furthermore, as an application of this result an iterative sequence which converges strongly to a solution of the Hammerstein equation u+KFu = 0 is constructed where, F:X→X* and K:X*→X are monotone-type mappings. No invertibility assumption is imposed on K. Moreover, neither K nor F need be compact. Finally, our method is of independent interest. 相似文献
12.
Let X denote the restricted Lie superalgebras of Cartan type W, S, H, or K over a field of characteristic p > 3, and 𝔄 the corresponding underlying superalgebra of X. Employing the invariance of the filtration of X we construct an isomorphism of Aut X to Aut(𝔄:X), the admissible automorphism group of the associative super-commutative superalgebra 𝔄. Moreover, it is proved that the group isomorphism above maps the standard normal series of Aut X to the one of Aut(𝔄:X), and also maps the homogeneous automorphism group of X to the admissible homogeneous automorphism group of 𝔄. 相似文献
13.
In this paper, we introduce and study a new class of generalized metric spaces, which we call k*-metrizable spaces, and suggest various applications of such spaces in topological algebra, functional analysis, and measure theory.
By definition, a Hausdorff topological space X is k*-metrizable if X is the image of a metrizable space M under a continuous map f: M → X which has a section s: X → M preserving precompact sets in the sense that the image s(K) of any compact set K ⊂ X has compact closure in X.
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 48, General
Topology, 2007. 相似文献
14.
Mark Kisin 《Israel Journal of Mathematics》2002,129(1):157-173
We extend the methods of Faltings and Tsuji, and prove that ifK is a field of characteristic 0 with a complete, discrete valuation, and a perfect residue field of characteristicp, then thep-adic étale cohomology of a finite typeK-scheme is potentially semi-stable. We prove a similar result for cohomology with compact support, and for cohomology with
support in a closed subspace ofX. We establish a relationship between these cohomology groups, and the de Rham cohomology ofX. 相似文献
15.
It is known that if a projective variety X in P
N
is reflexive with respect to the projective dual, then the Gauss map of X defined by embedded tangent spaces is separable, and moreover that the converse is not true in general. We prove that the
converse holds under the assumption that X is of dimension two. Explaining the subtleness of the problem, we present an example of smooth projective surfaces in arbitrary
positive characteristic, which gives a negative answer to a question raised by S. Kleiman and R. Piene on the inseparability
of the Gauss map.
相似文献
16.
Let X and Y be locally convex spaces with K a closed convex cone in X Necessary and sufficient conditions are given for the image AK to be closed in Ywhen A:X→Y is a continuous linear map. This result is used to generalize a theorem of Abrams to infinite dimensional spaces and also to give sufficient conditions for the Hurwicz version of the Farkas lemma for locally convex spaces to hold. 相似文献
17.
Characterizations and Extensions of Lipschitz-α Operators 总被引:1,自引:0,他引:1
Huai Xin CAO Jian Hua ZHANG Zong Ben XU 《数学学报(英文版)》2006,22(3):671-678
In this work, we prove that a map F from a compact metric space K into a Banach space X over F is a Lipschitz-α operator if and only if for each σ in X^* the map σoF is a Lipschitz-α function on K. In the case that K = [a, b], we show that a map f from [a, b] into X is a Lipschitz-1 operator if and only if it is absolutely continuous and the map σ→ (σ o f)' is a bounded linear operator from X^* into L^∞([a, b]). When K is a compact subset of a finite interval (a, b) and 0 〈 α ≤ 1, we show that every Lipschitz-α operator f from K into X can be extended as a Lipschitz-α operator F from [a, b] into X with Lα(f) ≤ Lα(F) ≤ 3^1-α Lα(f). A similar extension theorem for a little Lipschitz-α operator is also obtained. 相似文献
18.
A Convenient Subcategory of Tych 总被引:1,自引:1,他引:0
Gábor Lukács 《Applied Categorical Structures》2004,12(4):369-377
A map f:XY between Hausdorff topological spaces is k-continuous if its restriction f|
K
to every compact subspace K of X is continuous. X is called a k
R
-space if every k-continuous function from X to a Tychonoff space is continuous. In this paper we investigate the category of Tychonoff k
R
-spaces, and show that it is Cartesian closed (thus convenient in the sense of Wyler). 相似文献
19.
We study the relationship between the generic smoothness of the Gauss map and the reflexivity (with respect to the projective dual) for a projective variety defined over an algebraically closed field. The problem we discuss here is whether it is possible for a projective variety X in ℙN to re‐embed into some projective space ℙM so as to be non‐reflexive with generically smooth Gauss map. Our result is that the answer is affirmative under the assumption that X has dimension at least 3 and the differential of the Gauss map of X in ℙN is identically zero; hence the projective varietyX re‐embedded in ℙM yields a negative answer to Kleiman–Piene's question: Does the generic smoothness of the Gauss map imply reflexivity for a projective variety? A Fermat hypersurface in ℙN with suitable degree in positive characteristic is known to satisfy the assumption above. We give some new, other examples of X in ℙN satisfying the assumption. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
20.
We analyze the structure of a continuous (or Borel) action of a connected semi-simple Lie group G with finite center and real rank at least 2 on a compact metric (or Borel) space X, using the existence of a stationary measure as the basic tool. The main result has the following corollary: Let P be a minimal parabolic subgroup of G, and K a maximal compact subgroup. Let λ be a P-invariant probability measure on X, and assume the P-action on (X,λ) is mixing. Then either λ is invariant under G, or there exists a proper parabolic subgroup Q⊂G, and a measurable G-equivariant factor map ϕ:(X,ν)→(G/Q,m), where ν=∫
K
kλdk and m is the K-invariant measure on G/Q. Furthermore, The extension has relatively G-invariant measure, namely (X,ν) is induced from a (mixing) probability measure preserving action of Q.
Oblatum 14-X-1997 & 18-XI-1998 / Published online: 20 August 1999 相似文献