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Real commutative algebra. III. Dedekind-Weber-Riemann manifolds.

D. W. Dubois, A. Bukowski (1980)

Revista Matemática Hispanoamericana

The space S of all non-trivial real places on a real function field K|k of trascendence degree one, endowed with a natural topology analogous to that of Dedekind and Weber's Riemann surface, is shown to be a one-dimensional k-analytic manifold, which is homeomorphic with every bounded non-singular real affine model of K|k. The ground field k is an arbitrary ordered, real-closed Cantor field (definition below). The function field K|k is thereby represented as a field of real mappings of S which might...

Real Schottky uniformizations and Jacobians of May surfaces.

Rubén A. Hidalgo, Rubí E. Rodríguez (2004)

Revista Matemática Iberoamericana

Given a closed Riemann surface R of genus p ≥ 2 together with an anticonformal involution τ : R ---> R with fixed points, we consider the group K(R, τ) consisting of the conformal and anticonformal automorphisms of R which commute with τ...

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