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

Dan Zacharia; Dieter Happel

arxiv: 1208.3139 · v1 · pith:2ZEAOQB5new · submitted 2012-08-15 · 🧮 math.AG · math.RT

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

Dieter Happel , Dan Zacharia This is my paper

classification 🧮 math.AG math.RT

keywords noteprojectivespacealgebracoherentcomplexdrezetendomorphism

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

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