Zobrazeno 1 - 10 of 17 pro vyhledávání: '"S. G. Tankeev"'
2
On the standard conjecture for a -dimensional variety fibred by curves with a non-injective Kodaira–Spencer map
Autor: S. G. Tankeev
Publikováno v: Izvestiya: Mathematics. 84:1016-1035
We prove that the Grothendieck standard conjecture of Lefschetz type holds for a complex projective 3-dimensional variety fibred by curves (possibly with degeneracies) over a smooth projective surface provided that the endomorphism ring of the Jacobi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fa52c04b2ff9a54a7523a4d001d06e2a
https://doi.org/10.1070/im8895
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7
On the Brauer group of an arithmetic model of a hyperkähler variety over a number field
Autor: S G Tankeev
Publikováno v: Izvestiya: Mathematics. 79:623-644
We prove Artin's conjecture on the finiteness of the Brauer group for an arithmetic model of a hyperkahler variety over a number field provided that . We show that the Brauer group of an arithmetic model of a simply connected Calabi-Yau variety over
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e75234e8bd6ab0d48646c32a28fb66f2
https://doi.org/10.1070/im2015v079n03abeh002755
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9
On the standard conjecture for complex 4-dimensional elliptic varieties and compactifications of Néron minimal models
Autor: S G Tankeev
Publikováno v: Izvestiya: Mathematics. 78:169-200
We prove that the Grothendieck standard conjecture of Lefschetz type on the algebraicity of operators and of Hodge theory holds for every smooth complex projective model of the fibre product , where is an elliptic surface over a smooth projective cur
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8319f4d03741c3f707bb4942f10911fd
https://doi.org/10.1070/im2014v078n01abeh002684
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10
On the finiteness of the Brauer group of an arithmetic scheme
Autor: S. G. Tankeev
Publikováno v: Mathematical Notes. 95:121-132
The Artin conjecture on the finiteness of the Brauer group is shown to hold for an arithmetic model of a K3 surface over a number field k. The Brauer group of an arithmetic model of an Enriques surface over a sufficiently large number field is shown
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f11d6a045b210bb0de85fc595a338ece
https://doi.org/10.1134/s0001434614010131
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