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

Dieter Happel and Dan Zacharia

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

Journal: Proc. Amer. Math. Soc. 141 (2013), no. 10, 3383–3390.

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