Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Kussin, Dirk"'
Autor:
Kussin, Dirk, Laking, Rosanna
Publikováno v:
Doc. Math. 25 (2020), 1029-1077
We consider the category $\operatorname{Qcoh}\mathbb{X}$ 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 c
Externí odkaz:
http://arxiv.org/abs/1911.02485
Autor:
Hügel, Lidia Angeleri, Kussin, Dirk
Publikováno v:
Documenta Math. 22 (2017), 67-134
Let $\mathbb{X}$ be a weighted noncommutative regular projective curve over a field $k$. The category $\operatorname{Qcoh}\mathbb{X}$ of quasicoherent sheaves is a hereditary, locally noetherian Grothendieck category. We classify all tilting sheaves
Externí odkaz:
http://arxiv.org/abs/1508.03833
Autor:
Hügel, Lidia Angeleri, Kussin, Dirk
Publikováno v:
Math. Z. 285 (2017), 821-850
We study infinite dimensional tilting modules over a concealed canonical algebra of domestic or tubular type. In the domestic case, such tilting modules are constructed by using the technique of universal localization, and they can be interpreted in
Externí odkaz:
http://arxiv.org/abs/1508.03752
Autor:
Kussin, Dirk
Publikováno v:
J. Noncommut. Geom. 10 (2016), 1465-1540
Let $\mathcal{H}$ be a noncommutative regular projective curve over a perfect field $k$. We study global and local properties of the Auslander-Reiten translation $\tau$ and give an explicit description of the complete local rings, with the involvemen
Externí odkaz:
http://arxiv.org/abs/1412.0290
Canonical algebras, introduced by C.M. Ringel in 1984, play an important role in the representation theory of finite dimensional algebras. They are equipped with a large contact surface to many further mathematical subjects like function theory, 3-ma
Externí odkaz:
http://arxiv.org/abs/1208.3761
We investigate the triangle singularity $f=x^a+y^b+z^c$, or $S=k[x,y,z]/(f)$, attached to a weighted projective line $X$ given by the weight triple $(a,b,c)$. We investigate the stable category of vector bundles on $X$ obtained from the vector bundle
Externí odkaz:
http://arxiv.org/abs/1203.5505
Publikováno v:
J. Reine Angew. Math. 685 (2013), 33-71
We show a surprising link between singularity theory and the invariant subspace problem of nilpotent operators as recently studied by C. M. Ringel and M. Schmidmeier, a problem with a longstanding history going back to G. Birkhoff. The link is establ
Externí odkaz:
http://arxiv.org/abs/1002.3797
Publikováno v:
Trans. Amer. Math. Soc. 362 (2010), 4313-4330
We study the cluster category of a canonical algebra A in terms of the hereditary category of coherent sheaves over the corresponding weighted projective line X. As an application we determine the automorphism group of the cluster category and show t
Externí odkaz:
http://arxiv.org/abs/0801.4540