Abstract
We develop the foundations of commutative algebra objects in the category of motives, which we call “motivic dga’s.” Works of White and Cisinski and Déglise provide us with a suitable model structure. This enables us to reconstruct the unipotent fundamental group of a pointed scheme from the associated augmented motivic dga and provides us with a factorization of Kim’s relative unipotent section conjecture into several smaller conjectures with a homotopical flavor.
| Original language | English |
|---|---|
| Pages (from-to) | 117-172 |
| Number of pages | 56 |
| Journal | Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova |
| Volume | 148 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Publisher Copyright:© 2022 Università degli Studi di Padova Published by EMS Press.
Keywords
- Rational homotopy
- motivic homotopy
- nonabelian Chabauty
- rational points
- unipotent fundamental group
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