Two geometric models for graded skew-gentle algebras
Y Qiu, C Zhang, Y Zhou - arXiv preprint arXiv:2212.10369, 2022 - arxiv.org
In Part 1, we classify (indecomposable) objects in the perfect derived category $\mathrm
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …
Derived categories of skew-gentle algebras and orbifolds
D Labardini-Fragoso, S Schroll… - Glasgow Mathematical …, 2022 - cambridge.org
Skew-gentle algebras are a generalisation of the well-known class of gentle algebras with
which they share many common properties. In this work, using non-commutative Gröbner …
which they share many common properties. In this work, using non-commutative Gröbner …
Singularity categories of skewed-gentle algebras
X Chen, M Lu - arXiv preprint arXiv:1409.5960, 2014 - arxiv.org
Let $ K $ be an algebraically closed field. Let $(Q, Sp, I) $ be a skewed-gentle triple,
$(Q^{sg}, I^{sg}) $ and $(Q^ g, I^{g}) $ be its corresponding skewed-gentle pair and …
$(Q^{sg}, I^{sg}) $ and $(Q^ g, I^{g}) $ be its corresponding skewed-gentle pair and …
Indecomposable objects in the derived category of a skew-gentle algebra using orbifolds
C Amiot - arXiv preprint arXiv:2107.02646, 2021 - arxiv.org
Skew-gentle algebras are skew-group algebras of certain gentle algebras endowed with a Z
2-action. Using the topological description of Opper, Plamondon and Schroll in [OPS] for the …
2-action. Using the topological description of Opper, Plamondon and Schroll in [OPS] for the …
Derived equivalences between skew-gentle algebras using orbifolds
C Amiot, T Brüstle - Documenta Mathematica, 2022 - ems.press
Skew-gentle algebras are skew-group algebras of gentle algebras equipped with a certain
Z2-action. Building on the bijective correspondence between gentle algebras and dissected …
Z2-action. Building on the bijective correspondence between gentle algebras and dissected …
[HTML][HTML] Derived equivalences of gentle algebras via Fukaya categories
Y Lekili, A Polishchuk - Mathematische Annalen, 2020 - Springer
Following the approach of Haiden–Katzarkov–Kontsevich (Publ Math Inst Hautes Études Sci
126: 247–318, 2017), to any homologically smooth Z Z-graded gentle algebra A we …
126: 247–318, 2017), to any homologically smooth Z Z-graded gentle algebra A we …
A complete derived invariant and silting theory for graded gentle algebras
H Jin, S Schroll, Z Wang - arXiv preprint arXiv:2303.17474, 2023 - arxiv.org
We show that among the derived equivalent classes of homologically smooth and proper
graded gentle algebras there is only one class whose perfect derived category does not …
graded gentle algebras there is only one class whose perfect derived category does not …
On homomorphism and generically -reduced components for skewed-gentle algebras
C Geiß - arXiv preprint arXiv:2307.10306, 2023 - arxiv.org
Let $ K $ be a an algebraically closed field with $\operatorname {char}(K)\neq 2$, and $ A $
a skewed-gentle $ K $-algebra. In this case, Crawley-Boevey's description of the …
a skewed-gentle $ K $-algebra. In this case, Crawley-Boevey's description of the …
On auto-equivalences and complete derived invariants of gentle algebras
S Opper - arXiv preprint arXiv:1904.04859, 2019 - arxiv.org
We study triangulated categories which can be modeled by an oriented marked surface
$\mathcal {S} $ and a line field $\eta $ on $\mathcal {S} $. This includes bounded derived …
$\mathcal {S} $ and a line field $\eta $ on $\mathcal {S} $. This includes bounded derived …
Laminations of punctured surfaces as -reduced irreducible components
Let $\boldsymbol {\Sigma}:=(\Sigma,\mathbb {M},\mathbb {P}) $ be a marked surface with
marked points on the boundary $\mathbb {M}\subset\partial\Sigma\neq\varnothing $, and …
marked points on the boundary $\mathbb {M}\subset\partial\Sigma\neq\varnothing $, and …