English

Spectral Curves are Transcendental

Mathematical Physics 2019-01-08 v1 math.MP Number Theory Exactly Solvable and Integrable Systems

Abstract

Some arithmetic properties of spectral curves are discussed: the spectral curve, for example, of a charge n2n\ge2 Euclidean BPS monopole is not defined over Q\overline{\mathbb{Q}} if smooth.

Keywords

Cite

@article{arxiv.1812.11093,
  title  = {Spectral Curves are Transcendental},
  author = {H. W. Braden},
  journal= {arXiv preprint arXiv:1812.11093},
  year   = {2019}
}

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8 pages