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Solid Arithmetic D-modules
Abstract
We introduce a solid ring of arithmetic differential operators analogue to Berthelot's D-dagger, and its derived infinity-category of solid quasi-coherent modules. We show that there is a fully faithful functor from Berthelot's derived category of bounded complexes of D-dagger-modules with coherent cohomology into our new category.
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BibTeX
@misc{david2026solid,
title = {{Solid Arithmetic D-modules}},
author = {Kolar David},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39799},
eprint = {2610.39799},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39799},
}
RIS
TY - UNPB
TI - Solid Arithmetic D-modules
AU - Kolar David
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39799
UR - https://arxiv.org/abs/2610.39799
AB - We introduce a solid ring of arithmetic differential operators analogue to Berthelot's D-dagger, and its derived infinity-category of solid quasi-coherent modules. We show that there is a fully faithful functor from Berthelot's derived category of bounded complexes of D-dagger-modules with coherent cohomology into our new category.
ER -