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Polyhedra of algebraic varieties and dominant morphisms
V. I. Danilov
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
Citation:
V. I. Danilov, “Polyhedra of algebraic varieties and dominant morphisms”, Mat. Sb. (N.S.), 106(148):3(7) (1978), 357–371; Math. USSR-Sb., 35:1 (1979), 35–48
Linking options:
https://www.mathnet.ru/eng/sm2580https://doi.org/10.1070/SM1979v035n01ABEH001448 https://www.mathnet.ru/eng/sm/v148/i3/p357
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Abstract page: | 256 | Russian version PDF: | 94 | English version PDF: | 7 | References: | 25 |
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