Extensions of filtered Ogus structures

Abstract

We compute the Ext group of the (filtered) Ogus category over a number field $K$. In particular we prove that the filtered Ogus realisation of mixed motives is not fully faithful.

arXiv admin note: text overlap with arXiv:1808.03146

References in corpus (2)

• Ogus realization of 1-motives
• The filtered Ogus realisation of motives