Zero-cycles on varieties over p-adic fields and Brauer groups

In this paper, we study the Brauer-Manin pairing of smooth proper varieties over local fields, and determine the $p$-adic part of the kernel of one side. We also compute the $A_0$ of a potentially rational surface which splits over a wildly ramified extension.Comment: 31 pages. The proof of the main result in the local case has been much simplified. The computations of 0-cycles on cubic surfaces have been modifie

Mapping dust column density in dark clouds by using NIR scattered light : Case of the Lupus 3 dark cloud

We present a method of mapping dust column density in dark clouds by using near-infrared scattered light. Our observations of the Lupus 3 dark cloud indicate that there is a well defined relation between (1) the H-Ks color of an individual star behind the cloud, i.e., dust column density, and (2) the surface brightness of scattered light toward the star in each of the J, H, and Ks bands. In the relation, the surface brightnesses increase at low H-Ks colors, then saturate and decrease with increasing H-Ks. Using a simple one-dimensional radiation transfer model, we derive empirical equations which plausibly represent the observed relationship between the surface brightness and the dust column density. By using the empirical equations, we estimate dust column density of the cloud for any directions toward which even no background stars are seen. We obtain a dust column density map with a pixel scale of 2.3 x 2.3 arcsec^2 and a large dynamic range up to Av = 50 mag. Compared to the previous studies by Juvela et al., this study is the first to use color excess of the background stars for calibration of the empirical relationship and to apply the empirical relationship beyond the point where surface brightness starts to decrease with increasing column density

Educational Freedom and Control in I. L. Kandel : Devising Process and Theoretical Structure of Division Theory

The theory of division between interna and externa of education was stated by W.F.Russell in July, 1929. After that Kandel began to insist the division theory. But there was a serious difference between Russell\u27s and Kandel\u27s theories. Russell\u27s was based on local initiative in interna, namely spiritual formation. Kandel\u27s was based not only on local initiative in national culture, but also on professionality of teachers. From 1910 Kandel\u27s main concern had been conversion of teaching into profession. Basic principles of Kandel\u27s division theory was drawn from the statement of Lord Percy, the president of the Board of Education in 1927 and the official proposals about Prussian education after World War I