Ample invertible sheaves on the irreducible components of an exceptional locus

D. Alexiou; Farhan Ismail

doi:10.5897/AJMCSR.9000039

African Journal of
Mathematics and Computer Science Research

Abbreviation: Afr. J. Math. Comput. Sci. Res.
Language: English
ISSN: 2006-9731
DOI: 10.5897/AJMCSR
Start Year: 2008
Published Articles: 261

Full Length Research Paper

Ample invertible sheaves on the irreducible components of an exceptional locus

D. Alexiou1* and Farhan Ismail2

1Aristotle University of Τhessaloniki, Greece. 2University of Damascus, Syria, U.S.A.
Email: [email protected]

Article Number - C7749D81563
Vol.4(1), pp. 1 - 5 , January 2011
https://doi.org/10.5897/AJMCSR.9000039

Accepted: 02 September 2010
Published: 31 January 2011

Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

Abstract

Resolving the -dimensional -Singularity, an exceptional locus will be obtained (), where are the irreducible components of , and they are isomorphic to. These are invertible sheaves. We study the conditions to be ample, using the known Kleiman's Criterion Kleiman (1966).