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A geometric model for the module category of a gentle algebra

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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A geometric model for the module category of a gentle algebra. / Baur, Karin; Coelho Guardado Simoes, Raquel.
In: International Mathematics Research Notices, Vol. 2021, No. 15, 31.07.2021, p. 11357-11392.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Baur, K & Coelho Guardado Simoes, R 2021, 'A geometric model for the module category of a gentle algebra', International Mathematics Research Notices, vol. 2021, no. 15, pp. 11357-11392. https://doi.org/10.1093/imrn/rnz150

APA

Baur, K., & Coelho Guardado Simoes, R. (2021). A geometric model for the module category of a gentle algebra. International Mathematics Research Notices, 2021(15), 11357-11392. https://doi.org/10.1093/imrn/rnz150

Vancouver

Baur K, Coelho Guardado Simoes R. A geometric model for the module category of a gentle algebra. International Mathematics Research Notices. 2021 Jul 31;2021(15):11357-11392. Epub 2019 Jul 31. doi: 10.1093/imrn/rnz150

Author

Baur, Karin ; Coelho Guardado Simoes, Raquel. / A geometric model for the module category of a gentle algebra. In: International Mathematics Research Notices. 2021 ; Vol. 2021, No. 15. pp. 11357-11392.

Bibtex

@article{96ef3443dda841c39665f5b3a529e566,
title = "A geometric model for the module category of a gentle algebra",
abstract = "In this article, gentle algebras are realised as tiling algebras, which are associated to partial triangulations of unpunctured surfaces with marked points on the boundary. This notion of tiling algebras generalise the notion of Jacobian algebras of triangulations of surfaces and the notion of surface algebras. We use this description to give a geometric model of the module category of any gentle algebra.",
author = "Karin Baur and {Coelho Guardado Simoes}, Raquel",
year = "2021",
month = jul,
day = "31",
doi = "10.1093/imrn/rnz150",
language = "English",
volume = "2021",
pages = "11357--11392",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "15",

}

RIS

TY - JOUR

T1 - A geometric model for the module category of a gentle algebra

AU - Baur, Karin

AU - Coelho Guardado Simoes, Raquel

PY - 2021/7/31

Y1 - 2021/7/31

N2 - In this article, gentle algebras are realised as tiling algebras, which are associated to partial triangulations of unpunctured surfaces with marked points on the boundary. This notion of tiling algebras generalise the notion of Jacobian algebras of triangulations of surfaces and the notion of surface algebras. We use this description to give a geometric model of the module category of any gentle algebra.

AB - In this article, gentle algebras are realised as tiling algebras, which are associated to partial triangulations of unpunctured surfaces with marked points on the boundary. This notion of tiling algebras generalise the notion of Jacobian algebras of triangulations of surfaces and the notion of surface algebras. We use this description to give a geometric model of the module category of any gentle algebra.

U2 - 10.1093/imrn/rnz150

DO - 10.1093/imrn/rnz150

M3 - Journal article

VL - 2021

SP - 11357

EP - 11392

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 15

ER -