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Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 1, Pages 35–48
DOI: https://doi.org/10.1070/SM1979v035n01ABEH001448 (Mi sm2580) 		 
Polyhedra of algebraic varieties and dominant morphisms

V. I. Danilov
English version PDF (1017 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1979v035n01ABEH001448
Abstract: We show that a proper surjective morphism of algebraic varieties gives rise to an epimorphism of the rational homology of the peripheral polyhedra associated to these varieties. We introduce a numerical invariant of noncomplete algebraic varieties and prove that it is monotone with respect to dominant morphisms. Our results are applied to the cancellation problem of algebraic varieties.
Bibliography: 8 titles.
Received: 30.03.1977
Bibliographic databases:
UDC: 513.836
MSC: Primary 14E99, 14F25; Secondary 55U10
Language: English
Original paper language: Russian
Citation: V. I. Danilov, “Polyhedra of algebraic varieties and dominant morphisms”, Math. USSR-Sb., 35:1 (1979), 35–48
Citation in format AMSBIB
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\by V.~I.~Danilov
\paper Polyhedra of algebraic varieties and dominant morphisms
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 1
\pages 35--48
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