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Quantum Drinfeld Modules II: Quantum Exponential and Ray Class Fields
This is the second in a series of two papers presenting a solution to Manin's
Real Multiplication program \cite{Man} in positive characteristic. If is a
quadratic and real extension of and is
the integral closure of in , we associate to each
modulus the {\it unit narrow ray class
field} : a class field containing the narrow ray class field,
whose class group contains an additional contribution coming from
. For a fundamental unit, we introduce the
associated {\it quantum Drinfeld module} of : a
generalization of Drinfeld module whose elements are multi-points.
The main theorem of the paper is that where is the Hilbert class
field of and ,
are the groups of traces of
torsion points of , .Comment: 41 page
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