The Galois action on geometric lattices and the mod- I/OM

Abstract

This paper studies the Galois action on a special lattice of geometric origin, which is related to mod- abelian-by-central quotients of geometric fundamental groups of varieties. As a consequence, we formulate and prove the mod- abelian-by-central variant/strengthening of a conjecture due to Ihara/Oda-Matsumoto.

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