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This article is cited in 15 scientific papers (total in 15 papers)
Adele constructions of direct images of differentials and symbols
D. V. Osipov M. V. Lomonosov Moscow State University
Abstract:
Explicit constructions are given for certain residues and symbols from differentials and $K_2$-groups of two-dimensional local fields to differentials and multiplicative groups of one-dimensional local fields. The maps obtained are used to construct the Gysin morphisms between the cohomology of the sheaves of regular differential forms and between the Chow groups in the case of a projective morphism of an algebraic surface onto an algebraic curve.
Received: 17.07.1996
Citation:
D. V. Osipov, “Adele constructions of direct images of differentials and symbols”, Mat. Sb., 188:5 (1997), 59–84; Sb. Math., 188:5 (1997), 697–723
Linking options:
https://www.mathnet.ru/eng/sm230https://doi.org/10.1070/sm1997v188n05ABEH000230 https://www.mathnet.ru/eng/sm/v188/i5/p59
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Abstract page: | 510 | Russian version PDF: | 225 | English version PDF: | 19 | References: | 64 | First page: | 1 |
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