PreprintarXiv licencearXiv
Cartier--Dieudonné Theory of Connected Group Schemes
Abstract
We prove that fiberwise-connected finite locally free commutative group schemes over a ring R are equivalent to an explicit full subcategory of the derived category of modules over the Cartier ring of R.
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BibTeX
@misc{kothari2026cartierdieudonné,
title = {{Cartier--Dieudonné Theory of Connected Group Schemes}},
author = {Casimir Kothari and Joshua Mundinger},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30586},
eprint = {2609.30586},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30586},
}
RIS
TY - UNPB
TI - Cartier--Dieudonné Theory of Connected Group Schemes
AU - Casimir Kothari
AU - Joshua Mundinger
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30586
UR - https://arxiv.org/abs/2609.30586
AB - We prove that fiberwise-connected finite locally free commutative group schemes over a ring R are equivalent to an explicit full subcategory of the derived category of modules over the Cartier ring of R.
ER -