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arXiv · 2608.29044

Examples of nontrivial presilting objects in a singularity category

Changchang Xi·Jinbi Zhang
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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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Changchang Xi, Jinbi Zhang. 2026-08-29. Examples of nontrivial presilting objects in a singularity category. https://arxiv.org/abs/2608.29044

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