Moduli spaces of stable sheaves on abelian surfaces

In this paper, we consider basic problems on moduli spaces of stable sheaves on abelian surfaces. Our main assumption is the primitivity of the associated Mukai vector. We determine the deformation types, albanese maps, Bogomolov factors and their weight 2 Hodge structures. We also discuss the deformation types of moduli spaces of stable sheaves on K3 surfaces. Received: 28 February 2000 / Revised version: 15 September 2000 / Published online: 24 September 2001     

Mixed-Valent Trinuclear CoIII-CoII-CoIII Complex with 1,3-Bis(5-chlorosalicylideneamino)-2-propanol

A mixed-valent trinuclear complex with 1,3-bis(5-chlorosalicylideneamino)-2-propanol (H₃clsalpr) was synthesized, and the crystal structure was determined by the single-crystal X-ray diffraction method at 90 K. The molecule is a trinuclear Co^III-Co^II-Co^III complex with octahedral geometries, having a tetradentate chelate of the Schiff-base ligand, bridging acetate, monodentate acetate coordination to each terminal Co³⁺ ion and four bridging phenoxido-oxygen of two Schiff-base ligands, and two bridging acetate-oxygen atoms for the central Co²⁺ ion. The electronic spectral feature is consistent with the mixed valent Co^III-Co^II-Co^III. Variable-temperature magnetic susceptibility data could be analyzed by consideration of the axial distortion of the central Co²⁺ ion with the parameters Δ = –254 cm⁻¹, λ = –58 cm⁻¹, κ = 0.93, tip = 0.00436 cm³ mol⁻¹, θ = –0.469 K, g_z = 6.90, and g_x = 2.64, in accordance with a large anisotropy. The cyclic voltammogram showed an irreversible reduction wave at approximately −1.2 V·vs. Fc/Fc⁺, assignable to the reduction of the terminal Co³⁺ ions.     

Organometallic compounds: XXXVII. Bridge rearrangements of multibridged ferrocenophanes in the presence of aluminum chloride

Two bridge-rearrangement reactions with AlCl₃ have been found in the cyclization of [4](1,1′)[3](2,2′)[4](4,4′)ferrocenophanebutanoic acids (XIb and XIIb) and in the Friedel-Crafts acylation of [4](1,1′)-α-oxo[3](2,2′)[4](4,4′)ferrocenophane(I). The cyclization of XIb and XIIb with ClCO₂Et/NEt₃/AlCl₃ gives no tetrabridged ferrocenophane but three dibridged ferrocenophanes (XVII, XVIII and XIX) each containing two six-membered condensed-rings which are formed via homoannular cyclization of the side chains followed by rearrangement of the existing tetramethylene bridges. Various multibridged ferrocenophanes were treated with AlCl₃ to account for the reaction mode in the rearrangement of I, and evidence for selective acyl migration of the oxotrimethylene bridge to the other cyclopentadienyl ring has been obtained.     

Very high power line-selective CO2 laser with (line-selective) unstable resonator

By replacing the conventional (non line-selective) unstable resonator, we succeeded in developing the very high power line-selective (line-tunable) CO₂ laser as a pumping source for high power molecular gas (e.g.NH₃) lasers in the infrared and far-infrared regions.The experiments were performed by using the very high power CO₂ laser (4A unit of Lekko VIII) at The Institute of Laser Engineering, Osaka University.The output power of 9R(30)9.22µ m line from the developed CO₂ laser, for instance, exceeded 0.5GW/pulse (50J/pulse with pulse width of 100nsec).     

Application of Multilayer Analytical Film to ELISA of Vanilmandelic Acid

The urinary level of vanilmandelic acid (VMA) is one marker for diagnosis of neurblastoma in neonates. A large number of samples are needed for mass screening. In order to make a convenient and sophisticated assay, we examined a method based on dry chemistry by using a monoclonal antibody to VMA. The antibody adsorbed on the surface of the well of a microplate was equilibrated with VMA labeled with glucose oxidase (GOD-VMA). Free VMA in a sample competes with GOD-VMA for the binding sites of the antibody. An aliquot containing the excess GOD-VMA was spotted onto a multilayer film consisting of a spreading layer containing glucose and a reaction layer containing peroxidase and a leucodye. Hydrogen peroxide produced with GOD-VMA in the spreading layer penetrated the reaction layer and produced a blue dye. The amount of dye formed was measured by a reflection photometer. From a standard curve, VMA was measurable from 0.1 to 50 μg/ml. The values obtained by the present method were correlated with those by high-performance liquid chromatography and enzyme-linked immunosorbent assay.