Notes On Hilbert's 12th Problem

Sixin Zeng

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Notes On Hilbert's 12th Problem

Sixin Zeng

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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.

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Sixin Zeng. 2006-05-03. Notes On Hilbert's 12th Problem. https://arxiv.org/abs/math/0605101

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