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

• Autorzy: Jan Ratajski
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 64
• Numer: 1
• Strony: 59-64

Daty

wydano

1993

otrzymano

1991-03-01

poprawiono

1991-07-11

Twórcy

autor

Jan Ratajski

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] J. Jurkiewicz, Torus embeddings, polyhedra, k*-actions and homology, Dissertationes Math. 236 (1985).
• [2] G. Kempf, F. Knudsen, D. Mumford and B. Saint-Donat, Toroidal Embeddings I, Lecture Notes in Math. 339, Springer, 1973.
• [3] T. Oda, Convex Bodies and Algebraic Geometry, Springer, 1980.
• [4] J. Stillwell, Classical Topology and Combinatorial Group Theory, Springer, 1980.