194,152 research outputs found
On the Hodge conjecture for products of certain surfaces
No full textIn this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2. We hereby provide new examples in dimension 4 where the Hodge conjecture holds
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A letter from Donna Hodge to Dr. Hector P. Garcia
No full textA letter from Donna Hodge, President of Citizens Organized for Public Safety, to Dr. Hector P. Garcia regarding the goals and aims of organization and asking him to sign a petition of endorsement
Acute Ethanol Administration Rapidly Increases Phosphorylation of Conventional Protein Kinase C in Specific Mammalian Brain Regions in Vivo
No full textBackground
Protein kinase C (PKC) is a family of isoenzymes that regulate a variety of functions in the central nervous system including neurotransmitter release, ion channel activity, and cell differentiation. Growing evidence suggests that specific isoforms of PKC influence a variety of behavioral, biochemical, and physiological effects of ethanol in mammals. The purpose of this study was to determine whether acute ethanol exposure alters phosphorylation of conventional PKC isoforms at a threonine 674 (p-cPKC) site in the hydrophobic domain of the kinase, which is required for its catalytic activity.
Methods
Male rats were administered a dose range of ethanol (0, 0.5, 1, or 2 g/kg, intragastric) and brain tissue was removed 10 minutes later for evaluation of changes in p-cPKC expression using immunohistochemistry and Western blot methods.
Results
Immunohistochemical data show that the highest dose of ethanol (2 g/kg) rapidly increases p-cPKC immunoreactivity specifically in the nucleus accumbens (core and shell), lateral septum, and hippocampus (CA3 and dentate gyrus). Western blot analysis further showed that ethanol (2 g/kg) increased p-cPKC expression in the P2 membrane fraction of tissue from the nucleus accumbens and hippocampus. Although p-cPKC was expressed in numerous other brain regions, including the caudate nucleus, amygdala, and cortex, no changes were observed in response to acute ethanol. Total PKC? immunoreactivity was surveyed throughout the brain and showed no change following acute ethanol injection
Locomotive engine as laid down and arranged by P.R. Hodge.
No full textLithograph created in 1839; negative created ca. 1900-1909. [Text on lithograph] ''Juno.'' 1839. Locomotive engine as laid down and arranged by P.R. Hodge. Rogers, Ketchum and Grosvenor Manufacturers, Paterson, N.J. Drawn & on stone by P. R. Hodge
The locus of Hodge classes in an admissible variation of mixed Hodge structure
No full textWe generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure.On généralise le théorème de E. Cattani, P. Deligne, et A. Kaplan aux variations de structure de Hodge mixtes admissibles
Regarding comments by Persson et al. (Airway, apoptosis, and asthma) to JL Simpson, PG Gibson, IA Yang, J Upham, A James, PN Reynolds. S Hodge and AMAZES Study Research. Impaired macrophage phagocytosis in noneosinophilic asthma
No full textArticle first published online: 20 AUG 2013S. Hodge and P. N. Reynold
Conical square function estimates and functional calculi for perturbed Hodge-Dirac operators in <em class="EmphasisTypeItalic">L</em><sup> <em class="EmphasisTypeItalic">P</em> </sup>
No full textPerturbed Hodge-Dirac operators and their holomorphic functional calculi, as investigated in the papers by Axelsson, Keith and the second author, provided insight into the solution of the Kato square-root problem for elliptic operators in L2 spaces and allowed for an extension of these estimates to other systems with applications to non-smooth boundary value problems. In this paper, we determine conditions under which such operators satisfy conical square function estimates in a range of Lp spaces, thus allowing us to apply the theory of Hardy spaces associated with an operator to prove that they have a bounded holomorphic functional calculus in those Lp spaces. We also obtain functional calculus results for restrictions to certain subspaces, for a larger range of p. This provides a framework for obtaining Lp results on perturbed Hodge Laplacians, generalising known Riesz transform bounds for an elliptic operator L with bounded measurable coefficients, one Sobolev exponent below the Hodge exponent, and Lp bounds on the square-root of L by the gradient, two Sobolev exponents below the Hodge exponent. Our proof shows that the heart of the harmonic analysis in L2 extends to Lp for all p ∈ (1,∞), while the restrictions in p come from the operator-theoretic part of the L2 proof. In the course of our work, we obtain some results of independent interest about singular integral operators on tent spaces and about the relationship between conical and vertical square functions.Accepted Author ManuscriptAnalysi
On the Hodge-Newton filtration for p-divisible groups of Hodge type
No full textA p-divisible group, or more generally an F-crystal, is said to be
Hodge-Newton reducible if its Hodge polygon passes through a break point of its
Newton polygon. Katz proved that Hodge-Newton reducible F-crystals admit a
canonical filtration called the Hodge-Newton filtration. The notion of
Hodge-Newton reducibility plays an important role in the deformation theory of
p-divisible groups; the key property is that the Hodge-Newton filtration of a
p-divisible group over a field of characteristic p can be uniquely lifted to a
filtration of its deformation.
We generalize Katz's result to F-crystals that arise from an unramified local
Shimura datum of Hodge type. As an application, we give a generalization of
Serre-Tate deformation theory for local Shimura data of Hodge type. We also
apply our deformation theory to study some congruence relations on Shimura
varieties of Hodge type.Comment: 31 page
Real non-abelian mixed hodge structures for quasi-projective varieties
No full textThe author defines and constructs mixed Hodge structures on real schematic homotopy types of complex quasi-projective varieties, giving mixed Hodge structures on their homotopy groups and pro-algebraic fundamental groups. The author also shows that these split on tensoring with the ring \mathbb{R}[x] equipped with the Hodge filtration given by powers of (x-i), giving new results even for simply connected varieties. The mixed Hodge structures can thus be recovered from the Gysin spectral sequence of cohomology groups of local systems, together with the monodromy action at the Archimedean place. As the basepoint varies, these structures all become real variations of mixed Hodge structure
On the Hodge-Newton filtration for p-divisible groups of Hodge type
No full textA p-divisible group, or more generally an F-crystal, is said to be Hodge–Newton reducible if its Newton polygon and Hodge polygon have a nontrivial contact point. Katz proved that Hodge–Newton reducible F-crystals admit a canonical filtration called the Hodge–Newton filtration. The notion of Hodge–Newton reducibility plays an important role in the deformation theory of p-divisible groups; the key property is that the Hodge–Newton filtration of a p-divisible group over a field of characteristic p can be uniquely lifted to a filtration of its deformation. We generalize Katz’s result to F-crystals that arise from an unramified local Shimura datum of Hodge type. As an application, we give a generalization of Serre–Tate deformation theory for local Shimura data of Hodge type
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