In Part 1, we classify (indecomposable) objects in the perfect derived category $\mathrm
{per}\Lambda $ of a graded skew-gentle algebra $\Lambda $, generalizing …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …