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

Abstract

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

To appear in the Proceedings of the AMS