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This article is cited in 2 scientific papers (total in 2 papers)
On Algebraic Cohomology Classes on a Smooth Model of a Fiber Product of Families of K3 surfaces
O. V. Nikol'skaya Vladimir State University
Abstract:
Hodge's conjecture on algebraic cycles is proved for a smooth projective model $X$ of the fiber product $X_1\times_CX_2$ of nonisotrivial one-parameter families of K3 surfaces (possibly with degeneracies) under certain constraints on the ranks of the transcendental cycle lattices of the general geometric fibers $X_{ks}$ and representations of the Hodge groups $\operatorname{Hg}(X_{ks})$.
Keywords:
Hodge's conjecture on algebraic cycles, K3 surface, smooth projective model.
Received: 07.06.2013 Revised: 07.04.2014
Citation:
O. V. Nikol'skaya, “On Algebraic Cohomology Classes on a Smooth Model of a Fiber Product of Families of K3 surfaces”, Mat. Zametki, 96:5 (2014), 738–746; Math. Notes, 96:5 (2014), 745–752
Linking options:
https://www.mathnet.ru/eng/mzm10337https://doi.org/10.4213/mzm10337 https://www.mathnet.ru/eng/mzm/v96/i5/p738
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Abstract page: | 334 | Full-text PDF : | 137 | References: | 68 | First page: | 34 |
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