Geodesic
Derived equivalences between skew-gentle algebras using orbifolds
Documenta mathematica, Tome 27 (2022), pp. 933-982
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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 surfaces, we obtain in this paper a bijection between skew-gentle algebras and certain dissected orbifolds that admit a double cover.
DOI : 10.4171/dm/889
Classification : 16E35, 16G20, 57R18
Mots-clés : derived equivalence, orbifold, skew-gentle algebra, surface dissection 
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     author = {Thomas Br\"ustle and Claire Amiot},
     title = {Derived equivalences between skew-gentle algebras using orbifolds},
     journal = {Documenta mathematica},
     pages = {933--982},
     year = {2022},
     volume = {27},
     doi = {10.4171/dm/889},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/889/}
}
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Thomas Brüstle; Claire Amiot. Derived equivalences between skew-gentle algebras using orbifolds. Documenta mathematica, Tome 27 (2022), pp. 933-982. doi: 10.4171/dm/889

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