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math.RT2024
Fishing for complements
Lidia Angeleri Hügel, David Pauksztello, Jorge Vitória
Given a presilting object in a triangulated category, we find necessary and sufficient conditions for the existence of a complement. This is done both for classic (pre)silting obje…
math.RT2024
Simple tilts of length hearts and simple-minded mutation
Nathan Broomhead, Raquel Coelho Simoes, David Pauksztello +1
We characterise when a simple Happel-Reiten-Smalo tilt of a length heart is again a length heart in terms of approximation theory and the existence of a stability condition with a…