2,924 research outputs found

    1-motivic sheaves and the Albanese functor

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    We introduce n-generated sheaves and n-motivic sheaves, describing completely for n = 0, 1 and proposing a conjecture for n > 1. We then obtain functors L\pi_0 and LAlb on DM_{eff}(k) deriving \pi_0 and Alb. The functor LAlb extends the one constructed (by the second author jointly with B.Kahn) to non-necessarily geometric motives. These functors are then used to define higher N\'eron-Severi groups and higher Albanese sheaves. The latter may be considered as an algebraic avatar of Deligne (co)homology.Comment: 54 pages, fully revised exposition with a new "structure theorem" for 1-motivic sheaves, see Theorem 1.3.10, including finitely presented (or constructible) 1-motivic sheave

    Nori 1-motives

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    Let EHM be Nori's category of effective homological mixed motives. In this paper, we consider the thick abelian subcategory EHM_1 generated by the i-th relative homology of pairs of varieties for i = 0,1. We show that EHM_1 is naturally equivalent to the abelian category M_1 of Deligne 1-motives with torsion; this is our main theorem. Along the way, we obtain several interesting results. Firstly, we realize M_1 as the universal abelian category obtained, using Nori's formalism, from the Betti representation of an explicit diagram of curves. Secondly, we obtain a conceptual proof of a theorem of Vologodsky on realizations of 1-motives. Thirdly, we verify a conjecture of Deligne on extensions of 1-motives in the category of mixed realizations for those extensions that are effective in Nori's sense

    Availability Evaluation of Service Function Chains Under Different Protection Schemes

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    Network Function Virtualization (NFV) calls for a new resource management approach where virtualized network functions (VNFs) replace traditional network hardware appliances. Thanks to NFV, operators are given a much greater flexibility, as these VNFs can be deployed as virtual nodes and chained together to form Service Function Chains (SFCs). An SFC represents a set of dedicated virtualized resources deployed to provide a certain service to the consumer. One of its most important performance requirements is availability. In this paper, the availability achieved by SFCs is evaluated analytically, by modelling several protection schemes and given different availability values for the network components. The cost of each protection scheme, based on its network resource consumption, is also taken into account. Extensive numerical results are reported, considering various SFC characteristics, such as availability requirements, number of NFV nodes and availability values of network components. The lowest-cost protection strategy, in terms of number of occupied network components, which meets availability requirement, is identified. Our analysis demonstrates that, in most cases, resource-greedy protection schemes, such as end-to-end protection, can be replaced by less aggressive schemes, even when availability requirements are in the order of five or six nines, depending on the number of elements in the service function chain

    Addressing Food Insecurity Within New American Communities in Vermont

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    Food insecurity is defined as not having safe, nutritious, or culturally appropriate foods available, or having limited ability to acquire these foods/uncertainty as to when one can acquire these foods. Reasons for food insecurity can be multifactorial such as language barriers, unfamiliar foods, and limited information about food environments.As a result, many turn to processed and energy- dense foods, contributing to the development of chronic diseases. Food banks and local food shelves provide supplemental food assistance to residents and communities in need. However, with diverse New American populations living within the same community, it is challenging to determine which foods best fit their needs. Vermont has welcomed 535 refugees in the last 4 years. Many of these new Americans currently reside in Winooski and Burlington. This study seeks to address the issues of mental health, food insecurity, access to the food shelf, and food preferences within the New American communities located in Winooski, Vermont.https://scholarworks.uvm.edu/comphp_gallery/1320/thumbnail.jp

    Error‐related brain activity in adolescents with obsessive‐compulsive disorder and major depressive disorder

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    Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/145307/1/da22767_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/145307/2/da22767.pd

    The 2013 M_w 7.7 Balochistan Earthquake: Seismic Potential of an Accretionary Wedge

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    Great earthquakes rarely occur within active accretionary prisms, despite the intense long‐term deformation associated with the formation of these geologic structures. This paucity of earthquakes is often attributed to partitioning of deformation across multiple structures as well as aseismic deformation within and at the base of the prism (Davis et al., 1983). We use teleseismic data and satellite optical and radar imaging of the 2013 M_w 7.7 earthquake that occurred on the southeastern edge of the Makran plate boundary zone to study this unexpected earthquake. We first compute a multiple point‐source solution from W‐phase waveforms to estimate fault geometry and rupture duration and timing. We then derive the distribution of subsurface fault slip from geodetic coseismic offsets. We sample for the slip posterior probability density function using a Bayesian approach, including a full description of the data covariance and accounting for errors in the elastic structure of the crust. The rupture nucleated on a subvertical segment, branching out of the Chaman fault system, and grew into a major earthquake along a 50° north‐dipping thrust fault with significant along‐strike curvature. Fault slip propagated at an average speed of 3.0  km/s for about 180 km and is concentrated in the top 10 km with no displacement on the underlying décollement. This earthquake does not exhibit significant slip deficit near the surface, nor is there significant segmentation of the rupture. We propose that complex interaction between the subduction accommodating the Arabia–Eurasia convergence to the south and the Ornach Nal fault plate boundary between India and Eurasia resulted in the significant strain gradient observed prior to this earthquake. Convergence in this region is accommodated both along the subduction megathrust and as internal deformation of the accretionary wedge

    Radiation Campaign of HPK Prototype LGAD sensors for the High-Granularity Timing Detector (HGTD)

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    We report on the results of a radiation campaign with neutrons and protons of Low Gain Avalanche Detectors (LGAD) produced by Hamamatsu (HPK) as prototypes for the High-Granularity Timing Detector (HGTD) in ATLAS. Sensors with an active thickness of 50~μ\mum were irradiated in steps of roughly 2×\times up to a fluence of 3×1015 neqcm23\times10^{15}~\mathrm{n_{eq}cm^{-2}}. As a function of the fluence, the collected charge and time resolution of the irradiated sensors will be reported for operation at 30-30^{\circ}

    Post-streptococcal reactive arthritis in children: a distinct entity from acute rheumatic fever

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    There is a debate whether post-streptococcal reactive arthritis (PSRA) is a separate entity or a condition on the spectrum of acute rheumatic fever (ARF). We believe that PSRA is a distinct entity and in this paper we review the substantial differences between PSRA and ARF. We show how the demographic, clinical, genetic and treatment characteristics of PSRA differ from ARF. We review diagnostic criteria and regression formulas that attempt to classify patients with PSRA as opposed to ARF. The important implication of these findings may relate to the issue of prophylactic antibiotics after PSRA. However, future trials will be necessary to conclusively answer that question
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