Geodesic
Polyhedra of schemes and algebraic varieties
Sbornik. Mathematics, Tome 26 (1975) no. 1, pp. 137-149 Cet article a éte moissonné depuis la source Math-Net.Ru

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With every good compactification of an algebraic variety we associate a polyhedron. We show that the homotopy type of this polyhedron does not depend on the compactification and hence is an invariant of the algebraic variety. Bibliography: 9 titles. 
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V. I. Danilov. Polyhedra of schemes and algebraic varieties. Sbornik. Mathematics, Tome 26 (1975) no. 1, pp. 137-149. http://geodesic.mathdoc.fr/item/SM_1975_26_1_a6/

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