No abstract

The smallness is proved of étale fundamental groups for arithmetic schemes. This is a higher dimensional analogue of the HermiteMinkowski theorem. We also refer to the case of varieties over finite fields. As an application, we prove certain finiteness results of representations of the fundamental groups over algebraically closed fields.

This is a report of a rare characteristic anomaly of the laminae of the axis. A multiplane reconstruction of the CT images and a stereolithographic model were useful for treatment of this case. Possible causes of this anomaly may be the failure of ossification or fusion of the embryological term.

A fast-cycling induction synchrotron was demonstrated. Ions with extremely low energies and mass-tocharge ratios (A=Q) in the range from 2 to 10 were injected, captured by barrier voltages, and accelerated to the end of the acceleration cycle of 50 ms by flat pulse voltages generated by pulse transformers referred to as induction cells. Induction acceleration in a wide dynamic frequency range of 56 kHz to 1 MHz was also demonstrated. This accelerator is expected as the next generation of a heavy ion driver for cancer therapy, where a large scale injector is not required. A wide variety of ions for ion energy implantation experiments needing novel materials will be delivered from this compact circular accelerator.