A negative answer to Complement Question for presilting complexes

Yu-Zhe Liu; Yu Zhou

A negative answer to Complement Question for presilting complexes

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arxiv 2302.12502 v2 pith:NOHTQDM2 submitted 2023-02-24 math.RT

Yu-Zhe Liu , Yu Zhou This is my paper · ORCID

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Tilting theory for extended module categories
math.RT 2024-11 accept novelty 7.0 of 10

The paper proves that in extended module categories, tilting pairs, torsion pairs, and silting complexes are in one-to-one correspondence.
Tilting-completion for gentle algebras
math.RT 2024-12 conditional novelty 6.0 of 10

For gentle algebras, almost-tilting modules always complete to tilting modules with at most 2n complements, matching a modified version of Happel's conjecture.

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