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arxiv: 1508.03029 · v2 · pith:WSGX4AXCnew · submitted 2015-08-12 · 🧮 math.AG

Riemann surfaces defined over the reals

classification 🧮 math.AG
keywords fieldmoduliriemannsurfacesdefinedexamplesexplicitreal
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The known (explicit) examples of Riemann surfaces not definable over their field of moduli are not real whose field of moduli is a subfield of the reals. In this paper we provide explicit examples of real Riemann surfaces which cannot be defined over the field of moduli.

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