Hereditary noetherian categories with a tilting complex

Lenzing, Helmut

doi:10.1090/S0002-9939-97-04122-1

Hereditary noetherian categories with a tilting complex
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Proc. Amer. Math. Soc. 125 (1997), 1893-1901 Request permission

Abstract:

We are characterizing the categories of coherent sheaves on a weighted projective line as the small hereditary noetherian categories without projectives and admitting a tilting complex. The paper is related to recent work with de la Peña (Math. Z., to appear) characterizing finite dimensional algebras with a sincere separating tubular family, and further gives a partial answer to a question of Happel, Reiten, Smalø(Mem. Amer. Math. Soc. 120 (1996), no. 575) regarding the characterization of hereditary categories with a tilting object.

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