Abstract
We investigate the explicit Galois structures of Bloch–Kato Selmer groups of -adic realizations of critical motives. We show in particular that, under natural and relatively mild hypotheses, the Krull–Schmidt decompositions of the -adic lattices arising from such Selmer groups are dominated by very simple indecomposable modules (even when the ranks are very large).
Citation
David Burns. "On the Galois structure of arithmetic cohomology, III: Selmer groups of critical motives." Kyoto J. Math. 58 (3) 671 - 693, September 2018. https://doi.org/10.1215/21562261-2017-0034
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