This article is cited in 9 papers

Polyhedra of schemes and algebraic varieties

V. I. Danilov


Abstract: 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.

UDC: 513.836

MSC: Primary 14F35, 18G30, 55D10; Secondary 14E05, 14E35, 14A99

Received: 21.10.1974

 English version: Mathematics of the USSR-Sbornik, 1975, 26:1, 137–149

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