Quantum Drinfeld Modules I: Quantum Modular Invariant and Hilbert Class Fields

13 Nov 2019 Demangos L. Gendron T. M.

This is the first of a series of two papers in which we present a solution to Manin's Real Multiplication program -- an approach to Hilbert's 12th problem for real quadratic extensions of $\mathbb{Q}$ -- in positive characteristic, using quantum analogs of the exponential function and the modular invariant. In this first paper, we treat the problem of Hilbert class field generation... (read more)

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  • NUMBER THEORY