On a Problem of Miyaoka

Miyaoka-yau Inequality for Minimal Projective Manifolds of General Type

In this short note, we prove the Miyaoka-Yau inequality for minimal projective n-manifolds of general type by using Kähler-Ricci flow.

Surfaces Violating Bogomolov-miyaoka-yau in Positive Characteristic

The Bogomolov-Miyaoka-Yau inequality asserts that the Chern numbers of a surface X of general type in characteristic 0 satisfy the inequality c1 ≤ 3c2, a consequence of which is K2 X χ(OX ) ≤ 9. This inequality fails in characteristic p, and here we produce infinite families of counterexamples for large p. Our method parallels a construction of Hirzebruch, and relies on a construction of abelia...

Human capability of discriminating relief-like 2D figures in tactile displaying

† Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8601, Japan ‡ Honda R&D Co., Ltd., Motorcycle R&D Center, 3-15-1, Senzui, Asaka-shi, Saitama 351-0024, Japan. E-mail: [email protected] §Shizuoka Institute of Science and Technology, Faculty of Comprehensive Informatics, 2200-2, Toyosawa, Fukuro...

Comparison of Three Calculation Methods for a Bayesian Inference of Two Poisson Parameters

The statistical inference drawn from the difference between two independent Poisson parameters is often discussed in medical literature. Kawasaki and Miyaoka (2012) proposed an index θ = P(λ1,post < λ2,post), where λ1,post and λ2,post denote Poisson parameters following posterior density. A new calculation method is proposed using MCMC and an approximate expression and exact expression for θ ar...

Application of Dynamic Poisson Models to Japanese Cancer Mortality Data