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arXiv · 1601.03954

Quantum $j$-Invariant in Positive Characteristic II: Formulas and Values at the Quadratics

L. Demangos·T. M. Gendron
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Abstract

The multi-valued quantum $j$-invariant in positive characteristic is studied at quadratic elements. For every quadratic $f$, an explicit expression for each of the values of $j^{\rm qt}(f)$ is given as a limit of rational functions of $f$. It is proved that the number of values of $j^{\rm qt}(f)$ is finite and that none of these values is $\infty$.

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L. Demangos, T. M. Gendron. 2016-01-14. Quantum $j$-Invariant in Positive Characteristic II: Formulas and Values at the Quadratics. https://doi.org/10.1007/s00013-016-0920-4

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