English

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

Algebraic Geometry 2012-08-16 v1 Representation Theory

Abstract

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

Keywords

Cite

@article{arxiv.1208.3139,
  title  = {A note on sheaves without self-extensions on the projective $n$-space},
  author = {Dieter Happel and Dan Zacharia},
  journal= {arXiv preprint arXiv:1208.3139},
  year   = {2012}
}

Comments

To appear in the Proceedings of the AMS

R2 v1 2026-06-21T21:51:01.553Z