Notes On Hilbert's 12th Problem
arXiv:math/0605101
Abstract
In this note we will study the Hilbert 12th problem for a primitive CM field, and the corresponding Stark conjectures. Using the idea of Mirror Symmetry, we will show how to generate all the class fields of a given primitive CM field, thus complete the work of Shimura- Taniyama-Weil.
Research Notes. Draft version. Feedback welcome