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arXiv · 1208.3139

A note on sheaves without self-extensions on the projective $n$-space

Dieter Happel·Dan Zacharia
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Abstract

Let ${\bf P}^n$ be the projective $n-$space over the complex numbers. In this note we show that an indecomposable rigid coherent sheaf on ${\bf P}^n$ has a trivial endomorphism algebra. This generalizes a result of Drezet for $n=2.$

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Dieter Happel, Dan Zacharia. 2012-08-15. A note on sheaves without self-extensions on the projective $n$-space. https://arxiv.org/abs/1208.3139

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