20 research outputs found

    Twisted Galois stratification

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    We prove a direct image theorem stating that the direct image of a Galois formula by a morphism of difference schemes is equivalent to a Galois formula over fields with powers of Frobenius. As a consequence, we obtain an effective quantifier elimination procedure and a precise algebraic-geometric description of definable sets over fields with Frobenii in terms of twisted Galois formulae associated with finite Galois covers of difference schemes

    Geometric simplicity theory

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    Hochschild cohomology in toposes

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    We develop a theory of internal Hochschild cohomology in a ringed topos. We construct it via the internal Hochschild cochain complex, as well as through derived functor/topos cohomology theory, and discuss its relationship to the absolute Hochschild cohomology. By specialising to the topos of difference sets, we obtain a theory of internal difference Hochschild cohomology, and compare it to the absolute Hochschild cohomology through the Grothendieck and hypercohomology spectral sequences. We provide a systematic and detailed treatment of tensor products in suitable toposes in hope to complete the existing literature

    Fasting reveals largely intact systemic lipid mobilization mechanisms in respiratory chain complex III deficient mice

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    Mice homozygous for the human GRACILE syndrome mutation (Bcs1l (c.A232G)) display decreased respiratory chain complex III activity, liver dysfunction, hypoglycemia, rapid loss of white adipose tissue and early death. To assess the underlying mechanism of the lipodystrophy in homozygous mice (Bcs1l(p.S)(78G)), these and wild-type control mice were subjected to a short 4-hour fast. The homozygotes had low baseline blood glucose values, but a similar decrease in response to fasting as in wild-type mice, resulting in hypoglycemia in the majority. Despite the already depleted glycogen and increased triacylglycerol content in the mutant livers, the mice responded to fasting by further depletion and increase, respectively. Increased plasma free fatty acids (FAs) upon fasting suggested normal capacity for mobilization of lipids from white adipose tissue into circulation. Strikingly, however, serum glycerol concentration was not increased concomitantly with free FM, suggesting its rapid uptake into the liver and utilization for fuel or gluconeogenesis in the mutants. The mutant hepatocyte mitochondria were capable of responding to fasting by appropriate morphological changes, as analyzed by electron microscopy, and by increasing respiration. Mutants showed increased hepatic gene expression of major metabolic controllers typically associated with fasting response (Ppargc1a, Fgf21, Cd36) already in the fed state, suggesting a chronic starvation-like metabolic condition. Despite this, the mutant mice responded largely normally to fasting by increasing hepatic respiration and switching to FA utilization, indicating that the mechanisms driving these adaptations are not compromised by the CIII dysfunction. Summary statement: Bcs1l mutant mice with severe CIII deficiency, energy deprivation and post-weaning lipolysis respond to fasting similarly to wild-type mice, suggesting largely normal systemic lipid mobilization and utilization mechanisms.Peer reviewe

    New Investigations on Dunje Pegmatite, Macedonia II: Relation to Host Metamorphic Rocks and Adjacent Granite Intrusions

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    The mineral assemblage from Dunje pegmatite south of Prilep, Macedonia, contains euhedral crystals of epidote but a significant occurrence of epidote group minerals is also observed in the neighboring granite intrusions and in the Precambrian metamorphic host rock suite. Epidote group minerals in the adjacent granite intrusions show some textural features that could be connected with magmatic origin of the mineral suggesting a deep intrusion. A detailed characterization of chemical footprint in epidote groupe minerals from both magmatic and metamorphic rock suite is to be determined in other to establish a possible mutual genetic relationship
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