On the Galois structure of arithmetic cohomology, III: Selmer groups of critical motives

摘要

We investigate the explicit Galois structures of Bloch-Kato Selmer groups of p-adic realizations of critical motives. We show in particular that, under natural and relatively mild hypotheses, the Krull-Schmidt decompositions of the p-adic lattices arising from such Selmer groups are dominated by very simple indecomposable modules (even when the ranks are very large).