Geodesic
Cotilting Sheaves over Weighted Noncommutative Regular Projective Curves
Documenta mathematica, Tome 25 (2020), pp. 1029-1077.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We consider the category $\mathrm{Qcoh}\,\mathbb{X}$ of quasicoherent sheaves where $\mathbb{X}$ 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 $\infty $. 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 $\mathrm{Qcoh}\,\mathbb{X}$.
Classification : 14A22, 18E10, 18E40, 18G80
Keywords: cotilting, pure-injective, weighted projective curve, domestic, tubular, elliptic 
@article{DOCMA_2020__25__a37,
     author = {Kussin, Dirk and Laking, Rosanna},
     title = {Cotilting {Sheaves} over {Weighted} {Noncommutative} {Regular} {Projective} {Curves}},
     journal = {Documenta mathematica},
     pages = {1029--1077},
     publisher = {mathdoc},
     volume = {25},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a37/}
}
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Kussin, Dirk; Laking, Rosanna. Cotilting Sheaves over Weighted Noncommutative Regular Projective Curves. Documenta mathematica, Tome 25 (2020), pp. 1029-1077. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a37/