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Notes On Hilbert's 12th Problem

Number Theory 2007-05-23 v1 Algebraic Geometry

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.

Cite

@article{arxiv.math/0605101,
  title  = {Notes On Hilbert's 12th Problem},
  author = {Sixin Zeng},
  journal= {arXiv preprint arXiv:math/0605101},
  year   = {2007}
}

Comments

Research Notes. Draft version. Feedback welcome