PreprintCC BY 4.0arXiv
Characteristic cycles of constructible sheaves and microlocalization
Abstract
For a constructible sheaf on a smooth scheme over a field of positive characteristic, the singular support and the characteristic cycle are defined on the cotangent bundle. We study if a construction using the microlocalization similar to that in a transcendental setting due to Kashiwara--Schapira works in the algebraic setting and prove partial positive results.
Related
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BibTeX
@misc{saito2026characteristic,
title = {{Characteristic cycles of constructible sheaves and microlocalization}},
author = {Takeshi Saito},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.17026},
eprint = {2607.17026},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.17026},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Characteristic cycles of constructible sheaves and microlocalization
AU - Takeshi Saito
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2607.17026
UR - https://arxiv.org/abs/2607.17026
AB - For a constructible sheaf on a smooth scheme over a field of positive characteristic, the singular support and the characteristic cycle are defined on the cotangent bundle. We study if a construction using the microlocalization similar to that in a transcendental setting due to Kashiwara--Schapira works in the algebraic setting and prove partial positive results.
ER -