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On the \\(p\\)-primary and \\(p\\)-adic cases of the Isotropy Conjecture
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On the \\(p\\)-primary and \\(p\\)-adic cases of the Isotropy Conjecture
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Paper
On the \\(p\\)-primary and \\(p\\)-adic cases of the Isotropy Conjecture
2026
Overview
The purpose of this note is to show that, in contrast to the \\( F_p\\)-case (proven in [7]), the \\(p\\)-primary and \\(p\\)-adic cases of the Isotropy Conjecture, claiming that the isotropic Chow groups with \\( Z/p^r\\), \\(r>1\\), respectively, with \\( Z_p\\)-coefficients over a flexible field coincide with the numerical ones, don't hold. We show that the \\(BP\\)-theory with \\(I(ınfty)\\)-primary, respectively, \\(I(ınfty)\\)-adic coefficients may serve as a regular substitute for \\(p\\)-primary, respectively, \\(p\\)-adic Chow groups, which permits to extend the results of [6] to arbitrary primes.
Publisher
Cornell University Library, arXiv.org
Subject
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