Hyperbolic geometry and moduli of real curves of genus three
نویسندگان
چکیده
منابع مشابه
Classification of real moduli spaces over genus 2 curves
We classify, in terms of simple algebraic equations, the fixed point sets of the moduli space of stable bundles over genus 2 curves with anti-holomorphic involutions. 1991 MS Classification: 14H60, 51M30.
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چکیده ندارد.
15 صفحه اولThe Absolute Anabelian Geometry of Hyperbolic Curves
Let XK be a hyperbolic curve (cf. §0 below) over a field K of characteristic 0. Denote its algebraic fundamental group by ΠXK . Thus, we have a natural surjection ΠXK GK of ΠXK onto the absolute Galois group GK of K. When K is a finite extension of Q or Qp, and one holds GK fixed, then it is known (cf. [Tama1], [Mzk6]; Theorem 1.3.4 of the present manuscript) that one may recover the curve XK i...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2017
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-017-1587-2