Homogeneous Fibrations over Curves
Loading...
Authors
Zhu, Yi
Issue Date
1-May-12
Type
Dissertation
Language
en_US
Keywords
Alternative Title
Abstract
A basic question in arithmetic geometry is whether a variety defined over a non-closed field admits a rational point. When the base field is of geometric nature, i.e., function fields of varieties, one hopes to solve the problem via purely algebraically geometric methods. In this thesis, we study the geometry of the moduli space of sections of a projective homogeneous space fibration over an algebraic curve. It leads to answers for the existence of rational points on projective homogeneous spaces defined either over a global function field or over a function field of a complex algebraic surface.
Description
88 pg.
Citation
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.