Rank additivity for quasi-tilted algebras of canonical type
Hübner, Thomas
Colloquium Mathematicae, Tome 78 (1998), p. 183-193 / Harvested from The Polish Digital Mathematics Library
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Given the category X of coherent sheaves over a weighted projective line X=X(λ,p) (of any representation type), the endomorphism ring Σ=(𝒯) of an arbitrary tilting sheaf - which is by definition an almost concealed canonical algebra - is shown to satisfy a rank additivity property (Theorem 3.2). Moreover, this property extends to the representationinfinite quasi-tilted algebras of canonical type (Theorem 4.2). Finally, it is demonstrated that rank additivity does not generalize to the case of tilting complexes over X (Example 4.3).

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210537 
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     author = {Thomas H\"ubner},
     title = {Rank additivity for quasi-tilted algebras of canonical type},
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     volume = {78},
     year = {1998},
     pages = {183-193},
     zbl = {0902.16012},
     language = {en},
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Hübner, Thomas. Rank additivity for quasi-tilted algebras of canonical type. Colloquium Mathematicae, Tome 78 (1998) pp. 183-193. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv75z2p183bwm/

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