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21.
Let M be an irreducible projective variety, over an algebraically closed field k of characteristic zero, equipped with an action of a connected algebraic group S over k. Let E
G
be a principal G-bundle over M equipped with a lift of the action of S on M, where G is a connected reductive linear algebraic group. Assume that E
G
admits a reduction of structure group to a maximal torus TG. We give a necessary and sufficient condition for the existence of a T-reduction of E
G
which is left invariant by the action of S on E
G
. 相似文献
22.
23.
Guangcun Lu 《Journal of Functional Analysis》2011,261(2):542-589
In lines 8-11 of Lu (2009) [18, p. 2977] we wrote: “For integer m?3, if M is Cm-smooth and Cm−1-smooth L:R×TM→R satisfies the assumptions (L1)-(L3), then the functional Lτ is C2-smooth, bounded below, satisfies the Palais-Smale condition, and all critical points of it have finite Morse indexes and nullities (see [1, Prop. 4.1, 4.2] and [4])”. However, as proved in Abbondandolo and Schwarz (2009) [2] the claim that Lτ is C2-smooth is true if and only if for every (t,q) the function v?L(t,q,v) is a polynomial of degree at most 2. So the arguments in Lu (2009) [18] are only valid for the physical Hamiltonian in (1.2) and corresponding Lagrangian therein. In this note we shall correct our arguments in Lu (2009) [18] with a new splitting lemma obtained in Lu (2011) [20]. 相似文献
24.
Libo Yuan 《Optics & Laser Technology》1998,30(1):33-38
An interferometric fibre-optic temperature sensing system employing a light emitting diode (LED) as the broadband optical source and a single mode fibre coil which was fabricated in a definite length as the sensor head is described. A reference fibre line transmitting back and forth along the same path as the sensing transmitting fibre is used, so the change caused by the environmental temperature fluctuation of the fibre path can automatically be compensated. The sensitivity of the sensing system can be easily improved by using the long length of the sensing fibre. The experiment results of the sensing gauge length versus the sensitivity are given. Two typical wavelengths (1300 and 1550 nm). LED sources are used, it is shown that the sensitivity of the system between the two wavelengths is different. The experimental curve of the resolution characteristic of the system related to the length of sensing fibre coil is also discussed. 相似文献
25.
结合logarithmic二次函数和Lemar6chal和Wolfe(1975)提出的束方法,本文提出了一个求解非光滑均衡问题的束方法.一方面,我们算法推广了Nguyen等在文[1]中的束方法,并且保证了算法生成的序列在集合的内部.另一方面,将内部束方法应用到求解均衡问题. 相似文献
26.
Yicai Zhao 《Proceedings of the American Mathematical Society》2001,129(7):1907-1913
Let be an -dimensional normal projective variety with only Gorenstein, terminal, -factorial singularities. Let be an ample line bundle on . Let denote the nef value of . The classification of via the nef value morphism is given for the situations when satisfies or .
27.
Sheng-Li Tan 《Proceedings of the American Mathematical Society》2001,129(9):2553-2562
In this paper, we compute the integral closure of a cubic extension over a Noetherian unique factorization domain. We also present some applications to triple coverings and to rank two reflexive sheaves over an algebraic variety.
28.
孙文祥 《中国科学A辑(英文版)》2002,45(9):1147-1153
A Liao hyperbolic diffeomorphism has equal measure entropy and topological entropy to that of its induced systems on frame
bundles and Grassmann bundles. This solves a problem Liao posed in 1996 for Liao hyperbolic diffeomorphisms. 相似文献
29.
Matroid bundles, introduced by MacPherson, are combinatorial analogues of real vector bundles. This paper sets up the foundations
of matroid bundles. It defines a natural transformation from isomorphism classes of real vector bundles to isomorphism classes
of matroid bundles. It then gives a transformation from matroid bundles to spherical quasifibrations, by showing that the
geometric realization of a matroid bundle is a spherical quasifibration. The poset of oriented matroids of a fixed rank classifies
matroid bundles, and the above transformations give a splitting from topology to combinatorics back to topology. A consequence
is that the mod 2 cohomology of the poset of rank k oriented matroids (this poset classifies matroid bundles) contains the free polynomial ring on the first k Stiefel-Whitney classes. 相似文献
30.
纤维丛的全测地子流形 总被引:1,自引:0,他引:1
本文证明了底空间M是纤维丛P的全测地子流形;并且在dimP-dimM=2时证明了若P是平坦的,则P的每一纤维也是全测地子流形. 相似文献