Real algebraic threefolds I. Terminal singularities.

Título inglés	Real algebraic threefolds I. Terminal singularities.
Título español	3-variedades algebraicas reales I. Singularidades terminales.
Autor/es	Kollár, János
Organización	Univ. Utah, Salt Lake City (Utah), Estados Unidos
Revista	0010-0757
Publicación	1998, 49 (2-3): 335-360, 17 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	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. 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.
Clasificación UNESCO	120101
Palabras clave español	3-variedades ; Variedad algebraica ; Singularidades ; Curvas algebraicas reales ; Series de potencias ; Topología algebraica
Código MathReviews	MR1677128
Código Z-Math	Zbl 0948.14013
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