Notes On Hilbert's 12th Problem

Details Notes On Hilbert's 12th Problem Notes On Hilbert's 12th Problem

2006-05-03

arxiv.org/abs/math/0605101v1

Mathematics

Number Theory

Research Notes. Draft version. Feedback welcome

Scientific paper

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.

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