Some remarks on the local fundamental group scheme

2 5 M ay 2 00 6 Some Remarks on the Local Fundamental Group Scheme

2 6 M ay 2 00 6 Some Remarks on the Local Fundamental Group Scheme

On the Local Unipotent Fundamental Group Scheme

We prove a local, unipotent, analog of Kedlaya’s theorem for the pro-p part of the fundamental group of integral affine schemes in characteristic p.

Some remarks on fundamental physical F-theory

The purpose of this paper is to investigate the possibility of a physical 12-dimensional F-theory. We study the question of geometric interaction terms in the F-theory Lagrangians. We also introduce a new supergravity multiplet in dimension (9, 3) which is based on a particle with 3-dimensional timelike worldvolume. A construction of signature (9, 3) F-theory is given using dualities analogous ...

Remarks on the Frequency Spectra of Some Fundamental Quantum Effects

Short remarks on the problem of assigning frequency spectra to Casimir, sonoluminescence, Hawking, Unruh, and quantum optical squeezing effects are presented. Introduction Recent years witnessed great progress toward understanding in a quantum field approach the following fundamental quantum effects: Casimir, sonoluminescence, Hawking, Unruh, and squeezing ones. These effects have been treated ...