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arxiv: 1812.11093 · v1 · pith:WIZLLN3Unew · submitted 2018-12-28 · 🧮 math-ph · math.MP· math.NT· nlin.SI

Spectral Curves are Transcendental

classification 🧮 math-ph math.MPmath.NTnlin.SI
keywords spectralcurvesarithmeticchargecurvedefineddiscussedeuclidean
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Some arithmetic properties of spectral curves are discussed: the spectral curve, for example, of a charge $n\ge2$ Euclidean BPS monopole is not defined over $\overline{\mathbb{Q}}$ if smooth.

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