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On the Universal Extensions in Tannakian Categories

Authors :
Marco D'Addezio
Hélène Esnault
Source :
International Mathematics Research Notices
Publication Year :
2021
Publisher :
Oxford University Press (OUP), 2021.

Abstract

We use the notion of universal extension in a linear abelian category to study extensions of variations of mixed Hodge structure and convergent and overconvergent isocrystals. The results we obtain apply, for example, to prove the exactness of some homotopy sequences for these categories and to study $F$-able isocrystals.<br />19 pages; added reference to [And20]

Details

ISSN :
16870247 and 10737928
Volume :
2022
Database :
OpenAIRE
Journal :
International Mathematics Research Notices
Accession number :
edsair.doi.dedup.....ebcc7f3e7e014b112eed6566132940dd