For gentle algebras, almost-tilting modules always complete to tilting modules with at most 2n complements, matching a modified version of Happel's conjecture.
Semiorthogonal decompositions for bounded derived categories of gentle algebras
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study semiorthogonal decompositions of bounded derived categories of gentle algebras and how they are manifested in the geometric model of these categories as constructed by Opper, Plamondon and Schroll. We prove that there is a one-to-one correspondence between such semiorthogonal decompositions and suitable cuts of the marked surface underlying the geometric model. Our main tool is the characterization of basis morphisms between indecomposable objects due to Arnesen, Laking and Pauksztello.
fields
math.RT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Tilting-completion for gentle algebras
For gentle algebras, almost-tilting modules always complete to tilting modules with at most 2n complements, matching a modified version of Happel's conjecture.