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

Happel, Dieter; Zacharia, Dan

doi:10.1090/S0002-9939-2013-11305-5

A note on sheaves without self-extensions on the projective $n$-space
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Proc. Amer. Math. Soc. 141 (2013), 3383-3390 Request permission

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 $n=2.$

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