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arxiv: 2302.12502 · v2 · pith:NOHTQDM2new · submitted 2023-02-24 · 🧮 math.RT

A negative answer to Complement Question for presilting complexes

Yu-Zhe Liu , Yu Zhou This is my paper
classification 🧮 math.RT
keywords complexpresiltingalgebraanswercomplementcomplexesdimensionaldirect
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In this paper using a geometric model we show that there is a presilting complex over a finite dimensional algebra, which is not a direct summand of a silting complex.

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  1. Fishing for complements

    math.RT 2024-02 unverdicted novelty 5.0

    Necessary and sufficient conditions for complements to presilting objects in triangulated categories are established via co-t-structures, plus an equivalence characterizing silting-discrete algebras.