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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.
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A characterization of the complexity of a homogeneous space of a reductive groupG is given in terms of the mutual position of the tangent Lie algebra of the stabilizer of a generic point of and the (-1)-eigenspace of a Weyl involution of.
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The symmetric varieties considered in this paper are the quotientsG/H, whereG is an adjoint semi-simple group over a fieldk of characteristic ≠ 2, andH is the fixed point group of an involutorial automorphism ofG which is defined overk.
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LetMm be a closed smooth manifold with an involution having fixed set of the form (point)?Fn, 0>amp;lt;n>amp;lt;m.
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This map corresponds geometrically to restriction to the fixed point set of an action of a one-dimensional torus on the flag variety of a semisimple group G.
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A varietyQ??19 is explicitely constructed as the union of 22 disjoint irreducible components which are either points or open subsets of linear spaces.
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More precisely, each orbit of the above action intersects one componentX ofQ in a finite number of points and the action of PGL4 restricted on each componentX is equivalent to the action of a finite groupGX onX which can be explicitely computed.
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We prove that, for a real reductive algebraic group, they can be characterized as the spaces of real points of affine spherical homogeneous varieties of the complexified group.
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Rational smoothness and fixed points of torus actions
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We also describe the closure of orbits and then give applications to the repartition of rational points on K3 surfaces.
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A certain class of complex measures which we call 'shrinkable' is introduced, and it is shown that the zeros sets of such measures do dot admit generators with fast decay.
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As a byproduct a weighted version of the Triebel-Lizorkin space $\dot{F}^0_{\infty, 2}$ is introduced, which turns out to be isomorphic to BMO(ω) as in the unweighted case.
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In a dot product space with the reproducing kernel (r.
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Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras
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The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced, several appropriate examples are provided, and their some properties are investigated.
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It is assume that trading takes place in the sequence of spot markets and futures markets for securities payable in units of account.
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It is assumed that the trading takes place in the sequence of spot markets and futures markets for securities payable in units of account.
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In this paper, SPOT5 HRG datasets were ortho-rectified and atmospherically calibrated.
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Here, spot diagrams and modulation transfer function (MTF) are first adopted to quantitatively evaluate the imaging quality of the microscope.
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Quality monitoring of resistance spot welding based on electrode displacement characteristics analysis
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