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Cartier crystals and dual-constructible p-torsion complexes
Abstract
We show that given a Noetherian and F-finite scheme, the fixed point functor on Cartier crystals is fully faithful to the category of sheaves on the flat and relatively perfect site defined by Kato, and its essential image consists of the subcategory of dual-constructible sheaves, which we introduce.
Related
BibTeX
@misc{baudin2026cartier,
title = {{Cartier crystals and dual-constructible $p$-torsion complexes}},
author = {Jefferson Baudin and Kay Rülling},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20287},
eprint = {2609.20287},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20287},
}
RIS
TY - UNPB
TI - Cartier crystals and dual-constructible p-torsion complexes
AU - Jefferson Baudin
AU - Kay Rülling
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.20287
UR - https://arxiv.org/abs/2609.20287
AB - We show that given a Noetherian and F-finite scheme, the fixed point functor on Cartier crystals is fully faithful to the category of sheaves on the flat and relatively perfect site defined by Kato, and its essential image consists of the subcategory of dual-constructible sheaves, which we introduce.
ER -