A note on sheaves without self-extensions on the projective $n$-space
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- by Dieter Happel and Dan Zacharia
- Proc. Amer. Math. Soc. 141 (2013), 3383-3390
- DOI: https://doi.org/10.1090/S0002-9939-2013-11305-5
- Published electronically: June 19, 2013
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Abstract:
Let $\textbf {P}^n$ be the projective $n$-space over the complex numbers. In this note we show that an indecomposable rigid coherent sheaf on $\textbf {P}^n$ has a trivial endomorphism algebra. This generalizes a result of Drézet for $n=2.$References
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Bibliographic Information
- Dieter Happel
- Affiliation: Fakultät für Mathematik, Technische Universität Chemnitz, 09107 Chemnitz, Germany
- Email: happel@mathematik.tu-chemnitz.de
- Dan Zacharia
- Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244-0001
- MR Author ID: 186100
- Email: zacharia@syr.edu
- Received by editor(s): December 4, 2010
- Received by editor(s) in revised form: December 20, 2011
- Published electronically: June 19, 2013
- Additional Notes: The second author is supported by the NSA grant H98230-11-1-0152.
- Communicated by: Harm Derksen
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3383-3390
- MSC (2010): Primary 14F05, 16E10; Secondary 16E65, 16G20, 16G70
- DOI: https://doi.org/10.1090/S0002-9939-2013-11305-5
- MathSciNet review: 3080161