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Real algebraic spaces

Andrew John Sommese (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Real algebraic threefolds I. Terminal singularities.

János Kollár (1998)

Collectanea Mathematica

The aim of this series of papers is to develop the theory of minimal models for real algebraic threefolds. The ultimate aim is to understand the topology of the set of real points of real algebraic threefolds. We pay special attention to 3–folds which are birational to projective space and, more generally, to 3–folds of Kodaira dimension minus infinity.present work contains the beginning steps of this program. First we classify 3–dimensional terminal singularities over any field of characteristic...

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...

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