3,022 research outputs found

    On the birational section conjecture with local conditions

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    A birationally liftable Galois section s of a hyperbolic curve X/k over a number field k yields an adelic point x(s) in the smooth completion of X. We show that x(s) is X-integral outside a set of places of Dirichlet density 0, or s is cuspidal. The proof relies on GL2(Fℓ)GL_2(F_\ell)-quotients of π1(U)\pi_1(U) for some open U of X. If k is totally real or imaginary quadratic, we prove that all birationally adelic, non-cuspidal Galois sections come from rational points as predicted by the section conjecture of anabelian geometry. As an aside we also obtain a strong approximation result for rational points on hyperbolic curves over Q or imaginary quadratic fields.Comment: Theorem C (and Section 7) of the original version have been deleted due to a gap in the proof. This is the journal versio

    Utilisation of Excess Wind Power for Hydrogen Production in Northern Germany

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    No Seat at the Water Table: Colorado\u27s New Groundwater Basin Statute Leaves Senior Surface Rights in the Lurch

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    Wells that pump water from underground aquifers deplete water flowing in nearby rivers and streams. Colorado farmers in certain parts of the state use wells to pump large quantities of underground water for irrigation. However, other users who had pre-existing surface-water rights on nearby streams have complained that these wells drain the river and injure their prior vested water rights. Normally, surface water users with prior rights can require more junior users to stop appropriating until the senior user has diverted her full right. However, Colorado presumes that wells in certain districts-called designated basins-do not injure nearby surface streams. Still, to balance the rights of groundwater and surface water users, Colorado statutes for many decades have permitted surface water users to rebut this presumption, arguing that designated basin wells do in fact impact nearby surface streams, and thus that the state should redraw the boundaries of a designated basin to exclude misclassified wells. Those procedural protections were swept away when, in 2010, the Colorado legislature passed Senate Bill 52. That measure essentially prevents surface water users from bringing an action to de-designate a basin or to exclude particular wells from a designated basin. This Comment argues that Senate Bill 52 disrupts the balance between groundwater and surface water users at a time when the lagged effects of well pumping are depleting some surface streams. This Comment maintains that Senate Bill 52 is not only bad policy, but that it violates the Colorado Constitution\u27s Prior Appropriation Clause and the United States Constitution\u27s Due Process Clause. The Colorado Supreme Court should overturn Senate Bill 52 or the state legislature should repeal it. However, the Comment concludes that, instead of simply reverting to the previous scheme, the legislature should enact a more balanced approach modeled on recent conjunctive use legislation that has proven effective in other parts of the state

    A prototype and demonstrator of Akogrimo’s architecture: An approach of merging grids, SOA, and the mobile Internet

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    The trend of merging telecommunication infrastructures with traditional Information Technology (IT) infrastructures is ongoing and important for commercial service providers. The driver behind this development is, on one hand, the strong need for enhanced services and on the other hand, the need of telecommunication operators aiming at value-added service provisioning to a wide variety of customers. In the telecommunications sector, the IP Multimedia Subsystem (IMS) is a promising service platform, which may become a ''standard'' for supporting added-value services on top of the next generation network infrastructure. However, since its range of applicability is bound to SIP- enabled services, IMS extensions are being proposed by ''SIPifying'' applications. In parallel to these developments within the traditional IT sector, the notion of Virtual Organizations (VO) enabling collaborative businesses across organizational boundaries is addressed in the framework of Web Services (WS) standards implementing a Service-oriented Architecture (SOA). Here, concepts for controlled resource and service sharing based on WS and Semantic Technologies have been consolidated. Since the telecommunications sector has become, in the meantime ''mobile'', all concepts brought into this infrastructure must cope with the dynamics mobility brings in. Therefore, within the Akogrimo project the VO concept has been extended towards a Mobile Dynamic Virtual Organization (MDVO) concept, additionally considering key requirements of mobile users and resources. Especial attention is given to ensure the duality of the merge of both, SOA and IMS approaches to holistically support SOA-enabled mobile added-value services and their users. This work describes major results of the Akogrimo project, paying special attention to the overall Akogrimo architecture, the prototype implemented, and the key scenario in which the instantiated Akogrimo architecture shows a very clear picture of applicability, use, and an additional functional evaluation

    Business Case Hydrogen Infrastructure

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