20 research outputs found

    Birational geometry of hypersurfaces in products of projective spaces

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    We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in Pm x Pn, we describe their nef, movable and e ective cones and determine when they are Mori dream spaces. Using this, we give new simple examples of non-Mori dream spaces and analogues of Mumford's example of a strictly nef line bundle which is not ample.This is the author accepted manuscript. The final version is available from Springer via http://dx.doi.org/10.1007/s00209-015-1415-

    Acute kidney disease and renal recovery : consensus report of the Acute Disease Quality Initiative (ADQI) 16 Workgroup

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    Consensus definitions have been reached for both acute kidney injury (AKI) and chronic kidney disease (CKD) and these definitions are now routinely used in research and clinical practice. The KDIGO guideline defines AKI as an abrupt decrease in kidney function occurring over 7 days or less, whereas CKD is defined by the persistence of kidney disease for a period of > 90 days. AKI and CKD are increasingly recognized as related entities and in some instances probably represent a continuum of the disease process. For patients in whom pathophysiologic processes are ongoing, the term acute kidney disease (AKD) has been proposed to define the course of disease after AKI; however, definitions of AKD and strategies for the management of patients with AKD are not currently available. In this consensus statement, the Acute Disease Quality Initiative (ADQI) proposes definitions, staging criteria for AKD, and strategies for the management of affected patients. We also make recommendations for areas of future research, which aim to improve understanding of the underlying processes and improve outcomes for patients with AKD

    A retrospective review of cytogenetic studies on methyl isocyanate with special reference to the Bhopal gas tragedy: Is the next generation also at risk?

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    The world's worst industrial disaster, at Union Carbide, Bhopal, India, took place on 2-3 December 1984, leading to the leakage of poisonous methyl-isocyanate into the environment, causing thousands of deaths, pregnancy loss and for some, incapacitation for life. More than a quarter of a century later, the Indian Council of Medical Research undertook to redefine the abysmal consequences of the toxic gas exposure on the exposed population. This invigorated the interest of scientific community in the evaluation of the long-term effects, with reference to cytogenetic parameters. The thrust area was identified in terms of genetic disorders, low birth weight, developmental/growth disorders and congenital malformations. Also the impact on epigenetic factors, which may have contributed to variations in the functional expression of genes, was not negated, stimulating intense scientific research on in utero exposure and the progeny of the exposed population. To accomplish this mammoth task, molecular cytogenetic investigations must be undertaken in conjunction with conventional cytogenetics, using techniques such as FISH, Immuno-FISH, SKY and SNP analysis, to build up a cytogenetic database of the surviving population

    Curves on threefolds and a conjecture of Griffiths-Harris

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    We prove that any arithmetically Gorenstein curve on a smooth, general hypersurface of degree at least 6, is a complete intersection. This gives a characterisation of complete intersection curves on general type hypersurfaces in . We also verify that certain 1-cycles on a general quintic hypersurface are non-trivial elements of the Griffiths group

    EXTENSIONS OF VECTOR BUNDLES WITH APPLICATION TO NOETHER-LEFSCHETZ THEOREMS

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    Given a smooth, projective variety Y over an algebraically closed field of characteristic zero, and a smooth, ample hyperplane section X subset of Y, we study the question of when a bundle E on X, extends to a bundle epsilon on a Zariski open set U subset of Y containing X. The main ingredients used are explicit descriptions of various obstruction classes in the deformation theory of bundles, together with Grothendieck-Lefschetz theory. As a consequence, we prove a Noether-Lefschetz theorem for higher rank bundles, which recovers and unifies the Noether-Lefschetz theorems of Joshi and Ravindra-Srinivas

    Arithmetically Cohen-Macaulay bundles on three dimensional hypersurfaces

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    We prove that any rank two arithmetically Cohen-Macaulay vector bundle on a general hypersurface of degree at least six in P4P^4 must be split
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