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

Autor:	Dan Zacharia, Dieter Happel
Rok vydání:	2013
Předmět:	Algebra Pure mathematics Endomorphism Applied Mathematics General Mathematics Complex projective space Projective space Euler sequence Indecomposable module Exterior algebra Pencil (mathematics) Mathematics Coherent sheaf
Zdroj:	Proceedings of the American Mathematical Society. 141:3383-3390
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-2013-11305-5
Popis:	Let P n \textbf {P}^n be the projective n n -space over the complex numbers. In this note we show that an indecomposable rigid coherent sheaf on P n \textbf {P}^n has a trivial endomorphism algebra. This generalizes a result of Drézet for n = 2. n=2.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2c6ed1e5771a9dca55b18232b09b638a https://doi.org/10.1090/s0002-9939-2013-11305-5 Zobrazit plný text záznamu