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Robert Laterveer 《数学学报(英文版)》2017,33(7):887-898
This note is about the Chow groups of a certain family of smooth cubic fourfolds. This family is characterized by the property that each cubic fourfold X in the family has an involution such that the induced involution on the Fano variety F of lines in X is symplectic and has a K3 surface S in the fixed locus. The main result establishes a relation between X and S on the level of Chow motives. As a consequence, we can prove finite-dimensionality of the motive of certain members of the family. 相似文献
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We investigate connections between Real cobordism, algebraic cobordism, quadratic forms, the Rost Motive, Morava K(n)-theories and analogues of homotopy classes of Hopf invariant 1. 相似文献
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Instability of solution for the fourth order linear differential equation with varied coefficient 总被引:1,自引:0,他引:1
In this paper,we give some sufficient conditions of the instability for the fourth order linear differential equation with varied coefficient,at least one of the characteristic roots of which has positive real part,by means of Liapunov’s second method. 相似文献
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We prove that for suitable base fields, inverting the Bott element in Voevodsky’s category of motives with finite coefficients
yields the category of étale motives with finite coefficients.
Mathematics Subject Classifications (2000): 19E15, 14F42, 14F20.
The first author was partially supported by the Clay Mathematics Institute. 相似文献
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We consider a deterministic lot-sizing problem with demand time windows, where speculative motive is allowed. Utilizing an untraditional decomposition principle, we provide an optimal algorithm that runs in O(nT3) time, where n is the number of demands and T is the length of the planning horizon. 相似文献
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Fix a prime number . We prove a conjecture stated by Ihara, which he attributes to Deligne, about the action of the absolute Galois group on the pro- completion of the fundamental group of the thrice punctured projective line. Similar techniques are also used to prove part of a conjecture of Goncharov, also about the action of the absolute Galois group on the fundamental group of the thrice punctured projective line. The main technical tool is the weighted completion of a profinite group with respect to a reductive representation (and other appropriate data). 相似文献
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黄土湿陷性的微结构不平衡吸力成因论 总被引:3,自引:0,他引:3
分析了黄土粒间吸力的基本特性及其湿陷的微观过程,探讨了黄土在应力状态作用下由于浸水增湿而产生的微结构单元体滑移动力和阻力随饱和度、上覆土压力的变化规律,提出了微结构与广义吸力综合效应的湿陷性控制机理---微结构不平衡吸力成因论及其定量模型,从理论上分析了湿陷性与增湿水量、压力及深度的关系,揭示了土湿陷效应的内在规律。文中认为,湿陷过程就是水的楔入导致小孔隙广义吸力的逐渐丧失和大孔隙湿吸力的逐渐增大引起的微结构重建动力与重建阻力间的动态对抗过程。最后,讨论了湿陷的基本条件及影响因素。 相似文献