300 research outputs found

    Orbifold quantum D-modules associated to weighted projective spaces

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    We construct in an abstract fashion the orbifold quantum cohomology (quantum orbifold cohomology) of weighted projective space, starting from the orbifold quantum differential operator. We obtain the product, grading, and intersection form by making use of the associated self-adjoint D-module and the Birkhoff factorization procedure. The method extends to the more difficult case of Fano hypersurfaces in weighted projective space. However, in contrast to the case of weighted projective space itself or a Fano hypersurface in projective space, a "small Birkhoff cell" can appear in the construction; we give an example of this phenomenon.Comment: 24 pages. The main modification in this (final) version is the description of an ambiguity in the example of section 5, which was omitted from the original versio

    Nature of the Unidentified TeV Source HESS J1614-518, Revealed by Suzaku and XMM-Newton Observations

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    We report on new Suzaku and XMM-Newton results concerning HESS J1614-518, which is one of the brightest extended TeV gamma-ray sources and has two regions with intense gamma-ray emission. We newly observed the south and center regions of HESS J1614-518 with Suzaku, since the north region, including the position of the 1st brightest peak of the TeV gamma-ray emission, has already been observed. No X-ray counterpart was found at the position of the 2nd brightest peak of the TeV gamma-ray emission; we estimated the upper limit of the X-ray flux to be 1.6 \times 10^{-13} erg cm^{-2} s^{-1} in the 2-10 keV band. The soft X-ray source Suzaku J1614-5152, which was found at the edge of the field of view in a previous observation, was also detected at the middle of HESS J1614-518. Analyzing the XMM-Newton archival data, we revealed that Suzaku J1614-5152 consists of multiple point sources. The X-ray spectrum of the brightest point source, XMMU J161406.0-515225, can be described by a power-law model with a photon index of Gamma = 5.2^{+0.6}_{-0.5}, or a blackbody model with temperature kT = 0.38^{+0.04}_{-0.04} keV. In the blackbody model, the hydrogen-equivalent column density is almost the same as that of the hard extended X-ray emission, Suzaku J1614-5141, which was found at the 1st peak position. If true, XMMU J161406.0-515225 may be physically related to Suzaku J1614-5141 and HESS J1614-518.Comment: Accepted for publication in PASJ Vol.63 No.SP

    ヒキコモル リユウ ニ カンスル ジッショウテキ ケンキュウ

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    The purpose of this study was to conduct evidence based research for reason of Prolonged Social Withdrawal (Hikikomori). In this study, two hundreds forty eight parents who had individuals in the state of “Hikikomori” were asked to complete a questionnaire on the Reason of “Hikikomori” checklist (RHCL). Results of the factor analysis revealed that RHCL includes 16 items which consist of four factors including “Attention getting”, “Avoidance of social interaction”, “Avoidance of outing”, and “In-home reinforcement”. Furthermore, it was suggested that RHCL had sufficient internal consistency, criterion-related validity, content validity and construct validity. As a result of cluster analysis, “Avoidance of social interaction group”, “General avoidance group”, “General avoidance/ reinforced group”, and “Non-avoidance/non-reinforced group” were revealed. Finally, the utility of RHCL and the future study on intervention for individuals in the state of “Hikikomori” were also discussed

    The symplectic Deligne-Mumford stack associated to a stacky polytope

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    We discuss a symplectic counterpart of the theory of stacky fans. First, we define a stacky polytope and construct the symplectic Deligne-Mumford stack associated to the stacky polytope. Then we establish a relation between stacky polytopes and stacky fans: the stack associated to a stacky polytope is equivalent to the stack associated to a stacky fan if the stacky fan corresponds to the stacky polytope.Comment: 20 pages; v2: To appear in Results in Mathematic
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