On the Betti numbers of the real part of a three-dimensional torus embedding

Jan Ratajski

Colloquium Mathematicae (1993)

  • Volume: 64, Issue: 1, page 59-64
  • ISSN: 0010-1354

Abstract

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Let X be the three-dimensional, complete, nonsingular, complex torus embedding corresponding to a fan S 3 and let V be the real part of X (for definitions see [1] or [3]). The aim of this note is to give a simple combinatorial formula for calculating the Betti numbers of V.

How to cite

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Ratajski, Jan. "On the Betti numbers of the real part of a three-dimensional torus embedding." Colloquium Mathematicae 64.1 (1993): 59-64. <http://eudml.org/doc/210173>.

@article{Ratajski1993,
abstract = {Let X be the three-dimensional, complete, nonsingular, complex torus embedding corresponding to a fan $S ⊆ ℝ^\{3\}$ and let V be the real part of X (for definitions see [1] or [3]). The aim of this note is to give a simple combinatorial formula for calculating the Betti numbers of V.},
author = {Ratajski, Jan},
journal = {Colloquium Mathematicae},
keywords = {semi-algebraic geometry; toric variety; compact manifold; Betti numbers; fundamental group},
language = {eng},
number = {1},
pages = {59-64},
title = {On the Betti numbers of the real part of a three-dimensional torus embedding},
url = {http://eudml.org/doc/210173},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Ratajski, Jan
TI - On the Betti numbers of the real part of a three-dimensional torus embedding
JO - Colloquium Mathematicae
PY - 1993
VL - 64
IS - 1
SP - 59
EP - 64
AB - Let X be the three-dimensional, complete, nonsingular, complex torus embedding corresponding to a fan $S ⊆ ℝ^{3}$ and let V be the real part of X (for definitions see [1] or [3]). The aim of this note is to give a simple combinatorial formula for calculating the Betti numbers of V.
LA - eng
KW - semi-algebraic geometry; toric variety; compact manifold; Betti numbers; fundamental group
UR - http://eudml.org/doc/210173
ER -

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