# The Fontaine-Ogus realisation of Laumon 1-motives

**Authors:** Nicola Mazzari

arXiv: 1906.07436 · 2024-08-08

## TL;DR

This paper constructs a filtered Ogus realization for Laumon 1-motives over number fields, extending previous functors from Deligne 1-motives and broadening the scope of motive realizations.

## Contribution

It introduces the Ogus realization for Laumon 1-motives, expanding the functorial framework beyond Deligne 1-motives over number fields.

## Key findings

- Construction of the Ogus realization for Laumon 1-motives.
- Extension of the functor from Deligne 1-motives to Laumon 1-motives.
- Broadened applicability of motive realizations over number fields.

## Abstract

We construct the (filtered) Ogus realisation of Laumon 1-motives over a number field. This realisation extends the functor defined on Deligne 1-motives by Andreatta, Barbieri-Viale and Bertapelle.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1906.07436/full.md

## References

13 references — full list in the complete paper: https://tomesphere.com/paper/1906.07436/full.md

---
Source: https://tomesphere.com/paper/1906.07436