PreprintarXiv licencearXiv
Examples of nontrivial presilting objects in a singularity category
Abstract
It was conjectured that no presilting objects exist in the singularity category of a finite-dimensional algebra over a field except the zero object. In this note, we give counterexamples to this conjecture for algebras over fields of positive characteristic.
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BibTeX
@misc{xi2026examples,
title = {{Examples of nontrivial presilting objects in a singularity category}},
author = {Changchang Xi and Jinbi Zhang},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29044},
eprint = {2608.29044},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29044},
}
RIS
TY - UNPB
TI - Examples of nontrivial presilting objects in a singularity category
AU - Changchang Xi
AU - Jinbi Zhang
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2608.29044
UR - https://arxiv.org/abs/2608.29044
AB - It was conjectured that no presilting objects exist in the singularity category of a finite-dimensional algebra over a field except the zero object. In this note, we give counterexamples to this conjecture for algebras over fields of positive characteristic.
ER -