PreprintarXiv licencearXiv
F-nilpotence and Hodge filtrations beyond isolated singularities
Abstract
We give Hodge-theoretic characterizations of characteristic-zero varieties of open F-nilpotent and open weakly F-nilpotent type, extending a result of Srinivas and Takagi beyond isolated singularities. We prove one direction unconditionally and the converse assuming the weak ordinarity conjecture.
Related
- Calculating Hodge and weight filtrations on localizations
- Simpson filtrations and closure relations of Hodge moduli spaces
- The Yau Geometric Conjecture for Isolated Hypersurface Singularities
- Isolated symplectic singularities admitting symplectic resolutions
- The Kemper--Malle conjecture and isolated linear quotient singularities
BibTeX
@misc{dirks2026fnilpotence,
title = {{$F$-nilpotence and Hodge filtrations beyond isolated singularities}},
author = {Bradley Dirks and Jakub Witaszek},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07804},
eprint = {2609.07804},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07804},
}
RIS
TY - UNPB
TI - F-nilpotence and Hodge filtrations beyond isolated singularities
AU - Bradley Dirks
AU - Jakub Witaszek
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07804
UR - https://arxiv.org/abs/2609.07804
AB - We give Hodge-theoretic characterizations of characteristic-zero varieties of open F-nilpotent and open weakly F-nilpotent type, extending a result of Srinivas and Takagi beyond isolated singularities. We prove one direction unconditionally and the converse assuming the weak ordinarity conjecture.
ER -