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This article is cited in 2 scientific papers (total in 2 papers)
A filtration in the three-dimensional Cremona group
M. A. Frumkin
Abstract:
In this paper we introduce the concept of the genus of a birational mapping of nonsingular three-dimensional algebraic varieties over a field of characteristic 0 and prove that the automorphisms whose genus is at most a fixed number form a group. We also prove that a birational morphism of nonsingular three-dimensional varieties splits into a composition of a map which is an inverse to a morphism of genus 0 and monoidal transformations.
Bibliography: 9 titles.
Received: 18.05.1972
Citation:
M. A. Frumkin, “A filtration in the three-dimensional Cremona group”, Mat. Sb. (N.S.), 90(132):2 (1973), 196–213; Math. USSR-Sb., 19:2 (1973), 191–208
Linking options:
https://www.mathnet.ru/eng/sm3006https://doi.org/10.1070/SM1973v019n02ABEH001745 https://www.mathnet.ru/eng/sm/v132/i2/p196
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Abstract page: | 236 | Russian version PDF: | 94 | English version PDF: | 4 | References: | 34 | First page: | 1 |
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