On support τ-tilting graphs of gentle algebras
C Fu, S Geng, P Liu, Y Zhou - Journal of Algebra, 2023 - Elsevier
Let A be a finite-dimensional gentle algebra over an algebraically closed field. We
investigate the combinatorial properties of support τ-tilting graph of A. In particular, it is …
investigate the combinatorial properties of support τ-tilting graph of A. In particular, it is …
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 …
Geometric model for module categories of Dynkin quivers via hearts of total stability conditions
We derive a geometric model for the module category mod k Q of a Dynkin quiver Q via the
heart of a total stability condition on the bounded derived category of mod k Q. As an …
heart of a total stability condition on the bounded derived category of mod k Q. As an …
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 …
Mutation graph of support -tilting modules over a skew-gentle algebra
P He, Y Zhou, B Zhu - arXiv preprint arXiv:2212.10880, 2022 - arxiv.org
Let $\mathcal {D} $ be a Hom-finite, Krull-Schmidt, 2-Calabi-Yau triangulated category with a
rigid object $ R $. Let $\Lambda=\operatorname {End} _ {\mathcal {D}} R $ be the …
rigid object $ R $. Let $\Lambda=\operatorname {End} _ {\mathcal {D}} R $ be the …
[PDF][PDF] There are no strictly shod algebras in hereditary gentle algebras
H Zhang, YZ Liu - arXiv preprint arXiv:2212.09105, 2022 - arxiv.org
arXiv:2212.09105v1 [math.RT] 18 Dec 2022 Page 1 arXiv:2212.09105v1 [math.RT] 18 Dec
2022 THERE ARE NO STRICTLY SHOD ALGEBRAS IN HEREDITARY GENTLE ALGEBRAS …
2022 THERE ARE NO STRICTLY SHOD ALGEBRAS IN HEREDITARY GENTLE ALGEBRAS …
A geometric model for the module category of a string algebra
K Baur, RC Simoes - arXiv preprint arXiv:2403.07810, 2024 - arxiv.org
In this paper, we give a geometric construction of string algebras and of their module
categories. Our approach uses dissections of punctured Riemann surfaces with extra data at …
categories. Our approach uses dissections of punctured Riemann surfaces with extra data at …
Geometric model for vector bundles via infinite marked strips
J Chen, S Ruan, J Zhang - arXiv preprint arXiv:2405.07793, 2024 - arxiv.org
We present a geometric model for the category of vector bundles over the weighted
projective line of type (2, 2, n). This model is based on the orbit space of an infinite marked …
projective line of type (2, 2, n). This model is based on the orbit space of an infinite marked …
Geometric model for weighted projective lines of type
J Chen, S Ruan, H Zhang - arXiv preprint arXiv:2310.04695, 2023 - arxiv.org
We give a geometric model for the category of coherent sheaves over the weighted
projective line of type $(p, q) $ in terms of an annulus with marked points on its boundary …
projective line of type $(p, q) $ in terms of an annulus with marked points on its boundary …
Skew-group -categories as Fukaya categories of orbifolds
C Amiot, PG Plamondon - arXiv preprint arXiv:2405.15466, 2024 - arxiv.org
We study the partially wrapped Fukaya category of a surface with boundary with an action of
a group of order two. Inspired by skew-group algebras and categories, we define the notion …
a group of order two. Inspired by skew-group algebras and categories, we define the notion …