Slope inequalities for irregular cyclic covering fibrations

Let $f:S\to B$ be a finite cyclic covering fibration of a fibered surface. We study the lower bound of slope $\lambda_{f}$ when the relative irregularity $q_{f}$ is positive.Comment: 24page

A Possible Extension of a Trial State in the TDHF Theory with Canonical Form in the Lipkin Model

With the aim of the extension of the TDHF theory in the canonical form in the Lipkin model, the trial state for the variation is constructed, which is an extension of the Slater determinant. The canonicity condition is imposed to formulate the variational approach in the canonical form. A possible solution of the canonicity condition is given and the zero-point fluctuation induced by the uncertainty principle is investigated. As an application, the ground state energy is evaluated.Comment: 15 pages, 1 figure, using PTPTeX styl

Large inductive dimension of the Smirnov remainder

The purpose of this paper is to investigate the large inductive dimension of the remainder of the Smirnov compactification of the n-dimensional Euclidean space with the usual metric, and give an application of it.Comment: 8 pages, accepted for publication in Houston Journal of Mathematic

Local delta invariants of weak del Pezzo surfaces with the anti-canonical degree ≥5\geq 5

The delta invariant interprets the criterion for the K-(poly)stability of log terminal Fano varieties. In this paper, we determine the whole local delta invariant for all weak del Pezzo surfaces with the anti-canonical degree $\geq 5$.Comment: 75 page

高効率固体UVC光源開発に向けた半極性r面AlGaN系半導体のMOVPE成長に関する研究

付記する学位プログラム名: 京都大学卓越大学院プログラム「先端光・電子デバイス創成学」京都大学新制・課程博士博士(工学)甲第24624号工博第5130号新制||工||1980(附属図書館)京都大学大学院工学研究科電子工学専攻(主査)教授 川上 養一, 教授 野田 進, 教授 木本 恒暢学位規則第4条第1項該当Doctor of Philosophy (Engineering)Kyoto UniversityDFA