Real algebraic threefolds I: terminal singularities

• Autores: János Kollár
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 2-3, 1998, págs. 335-360
• Idioma: inglés
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• Resumen

  • 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. \newline The present work contains the beginning steps of this program. First we classify 3-dimensional terminal singularities over any field of characteristic zero. When the base field is the set of reals, the classification is used to give a topological description of the set of real points.

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