Geodesic
Cotilting Sheaves over Weighted Noncommutative Regular Projective Curves
Documenta mathematica, Tome 25 (2020), pp. 1029-1077
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We consider the category QcohX of quasicoherent sheaves where X is a weighted noncommutative regular projective curve over a field k. This category is a hereditary, locally noetherian Grothendieck category. We classify all indecomposable pure-injective sheaves and all cotilting sheaves of slope ∞. In the cases of nonnegative orbifold Euler characteristic this leads to a classification of pure-injective indecomposable sheaves and a description of all large cotilting sheaves in QcohX.
DOI : 10.4171/dm/770
Classification : 14A22, 18E10, 18E40, 18G80
Mots-clés : elliptic, cotilting, pure-injective, weighted projective curve, domestic, tubular 
@article{10_4171_dm_770,
     author = {Rosanna Laking and Dirk Kussin},
     title = {Cotilting {Sheaves} over {Weighted} {Noncommutative} {Regular} {Projective} {Curves}},
     journal = {Documenta mathematica},
     pages = {1029--1077},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/770},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/770/}
}
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Rosanna Laking; Dirk Kussin. Cotilting Sheaves over Weighted Noncommutative Regular Projective Curves. Documenta mathematica, Tome 25 (2020), pp. 1029-1077. doi: 10.4171/dm/770

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