# Real algebraic threefolds I. Terminal singularities.

Collectanea Mathematica (1998)

- Volume: 49, Issue: 2-3, page 335-360
- ISSN: 0010-0757

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topKollár, János. "Real algebraic threefolds I. Terminal singularities.." Collectanea Mathematica 49.2-3 (1998): 335-360. <http://eudml.org/doc/41339>.

@article{Kollár1998,

abstract = {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 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.},

author = {Kollár, János},

journal = {Collectanea Mathematica},

keywords = {3-variedades; Variedad algebraica; Singularidades; Curvas algebraicas reales; Series de potencias; Topología algebraica; minimal models of real algebraic threefolds; terminal singularity; topology of singularities},

language = {eng},

number = {2-3},

pages = {335-360},

title = {Real algebraic threefolds I. Terminal singularities.},

url = {http://eudml.org/doc/41339},

volume = {49},

year = {1998},

}

TY - JOUR

AU - Kollár, János

TI - Real algebraic threefolds I. Terminal singularities.

JO - Collectanea Mathematica

PY - 1998

VL - 49

IS - 2-3

SP - 335

EP - 360

AB - 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 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.

LA - eng

KW - 3-variedades; Variedad algebraica; Singularidades; Curvas algebraicas reales; Series de potencias; Topología algebraica; minimal models of real algebraic threefolds; terminal singularity; topology of singularities

UR - http://eudml.org/doc/41339

ER -