Deligne Products of Line Bundles over Moduli Spaces of Curves

We study Deligne products for forgetful maps between moduli spaces of marked curves by offering a closed formula for tautological line bundles associated to marked points. In particular, we show that the Deligne products for line bundles on the total spaces corresponding to “forgotten” marked points are positive integral multiples of the Weil-Petersson bundles on the base moduli spaces. Partially supported by the Japan Society for the Promotion of Science.     

An enhanced ionizer

Corona discharges in the air are intensified if a small amount of nonelectronegative gas is fed into the limited region around each corona point. The ions produced in the active region then migrate into the air, to produce an intensified negative and positive ion plasma     

The synthesis and reactivity of polysilylacetylenes: Diels—Alder reactions to give bis (silyl) benzenes

Six bis(silyl)acetylenes (XMe²Si? C?C? SiMe₂X) with the following varied silicon substituents X were prepared: 1 (Me, Me); 2 (H, H); 3 (C1, H); 4 (CI, CI); 5 (MeO, H); 6 (MeO, MeO). While 1 and 2 may be prepared by the reaction of dilithio- or bis(bromomagnesium)-acetylide with the appropriate chlorosilane, similar reactions designed to give 3–6 yielded oligomers, XMe₂Si? (? C?C? SiMe₂)_n? X, 7, X=CI, MeO, as the major products, indicating that the acetylenic functionality on silicon activates the chlorosilane towards nucleophilic substitution. Compounds 3 and 4 were prepared by free radical chlorination of 2. Methanolysis of 3 and 4 gave quantitative yields of 5 and 6 respectively. Compounds 1–6 undergo a Diels–Alder reaction with α-pyrone to produce, after loss of carbon dioxide, bis(silyl)-substituted benzene derivatives. The order of reactivity has been determined to be: 4=6>3=5>1>2, indicating that chloro or alkoxy substituents favor the cycloaddition with 2- pyrone. The adducts formed by compounds 3–6 undergo an unusually facile hydrolysis or elimination to give 1,1,3,3-tetramethyl-1,3-disila-2-oxaindane.     

Sorption of low-level radwaste by Spirulina

The feasibility of using spirulina as adsorbent for the treatment of low-level liquid radwaste is studied. The experimental results indicate that the sorption capacity of spirulina is good for the di- and trivalent metallic ions at pH 3-7, but rather poor for the mono-valent metallic ions and non-metallic ions. Some factors affecting metal ion uptake by spirulina such as the content of detergent, sodium ion in liquid radwaste and the stability of spirulina under gamma irradiation were also investigated.     

交联壳聚糖对Mo(Ⅵ)、Bi(Ⅲ)吸附性能的研究

研究了以环氧氯丙烷为交联剂制备的交联壳聚糖（CCTS）对Mo（Ⅵ）、Bi（Ⅲ）的吸附性能。结果表明：在pH=3.0时，CCTS对Mo（Ⅵ）、Bi（Ⅲ）的吸附率分别为98.0%、100%，吸附平衡时间分别为20min和5min，饱和吸附量分别为21.4，620.8g/kg，用1.00mL、0.1mL的NaOH溶液和4.00mL、5.0mol/L的HCl溶液可将吸附在CCTS上的Mo（Ⅵ）、Bi（Ⅲ）宣洗脱下来，脱附率分别为93%和96.5%。     

Construction of CM Picard curves

In this article we generalize the CM method for elliptic and hyperelliptic curves to Picard curves. We describe the algorithm in detail and discuss the results of our implementation.

     

Betti base‐derived tetradentate ligand: synthesis and application in copper‐catalyzed N‐arylation of imidazoles

Betti base‐derived tetradentate ligand 2 has been successfully designed and synthesized through the condensation of Betti base with glyoxal. Its application in N‐arylation of imidazoles has been investigated which opens a new field for application of Betti base derivatives in organic transformation. Copyright © 2009 John Wiley & Sons, Ltd.     

Synthesis of aminomethyl and amino analogs of 5-benzylacyclouridine and 5-benzyloxybenzylacyclouridine

Amino analogs of BAU (5-benzylacyclouridine) and BBAU (5-benzyloxybenzylacyclouridine) and their 2′-hydroxymethyl derivatives were synthesized for evaluation as inhibitors of uridine phosphorylase and hence potential cancer chemotherapeutic agents. Both aminomethyl analogs were found to be potent inhibitors of this enzyme and good potentiators of the anti-tumor action of FUdR.     

用Бернштейн多项式通近 可微函数的渐近表达

本文研究用BepaiuTefta多项式逼近可微函数·改进了现有结果，建立了一个含有点态因子的渐近等式;     

极强激光场驱动超亮伽马辐射和正负电子对产生的研究进展

高功率超短超强激光脉冲的诞生开启了相对论非线性光学、高强场物理、新型激光聚变、实验室天体物理等前沿领域.近年来,随着数拍瓦级乃至更高峰值功率激光装置的建成,超强激光与等离子体相互作用进入到一个全新的高强场范畴.这种极强激光场与等离子体相互作用蕴含着丰富的物理过程,除了经典的波与粒子作用、相对论效应、有质动力效应等非线性物理过程外,量子电动力学(QED)效应变得格外重要,例如辐射阻尼效应、正负电子对产生、强伽马射线辐射、QED级联、真空极化等.本文主要介绍我们近年来在极端强激光场与等离子体相互作用中激发的QED效应以及伴随的超亮强伽马射线辐射和稠密正负电子对产生等方面的研究进展.