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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Hodge groups of abelian varieties with purely multiplicative reduction
A. Silverberga, Yu. G. Zarhinb a Ohio State University
b Institute of Mathematical Problems of Biology, Russian Academy of Sciences
Аннотация:
The main result of the paper is that if $A$ is an abelian variety over a subfield $F$ of $\mathbf C$, and $A$ has purely multiplicative reduction at a discrete valuation of $F$, then the Hodge group of $A$ is semisimple. Further, we give necessary and sufficient conditions for the Hodge group to be semisimple. We obtain bounds on certain torsion
subgroups for abelian varieties which do not have purely multiplicative reduction at a given discrete valuation, and therefore obtain bounds on torsion for abelian varieties, defined over number fields, whose Hodge groups are not semisimple.
Bibliography: 26 titles.
Поступило в редакцию: 13.06.1995
Образец цитирования:
A. Silverberg, Yu. G. Zarhin, “Hodge groups of abelian varieties with purely multiplicative reduction”, Изв. РАН. Сер. матем., 60:2 (1996), 149–158; Izv. Math., 60:2 (1996), 379–389
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/im74https://doi.org/10.4213/im74 https://www.mathnet.ru/rus/im/v60/i2/p149
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Страница аннотации: | 387 | PDF русской версии: | 198 | PDF английской версии: | 10 | Список литературы: | 52 | Первая страница: | 1 |
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