PreprintCC BY 4.0HAL
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{kolar2026solid,
title = {{Solid Arithmetic D-modules}},
author = {David Kolar},
howpublished = {HAL},
year = {2026},
month = oct,
url = {https://hal.science/hal-05842862v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Solid Arithmetic D-modules
AU - David Kolar
PY - 2026
DA - 2026/10/28
PB - HAL
UR - https://hal.science/hal-05842862v1
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 -