African Journal of Mathematics and Computer Science Research
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Article Number - C7749D81563


Vol.4(1), pp. 1 - 5 , January 2011

ISSN: 2006-9731



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: alexd@tee.gr






 Accepted: 02 September 2010  Published: 31 January 2011

Copyright © 2011 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0


 

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).

 

Key words: Simple singularity, exceptional locus, ample sheaves.

 


APA (2011). Ample invertible sheaves on the irreducible components of an exceptional locus. African Journal of Mathematics and Computer Science Research, 4(1), 1 - 5.
Chicago D. Alexiou and Farhan Ismail. "Ample invertible sheaves on the irreducible components of an exceptional locus." African Journal of Mathematics and Computer Science Research 4, no. 1 (2011): 1 - 5.
MLA D. Alexiou and Farhan Ismail. "Ample invertible sheaves on the irreducible components of an exceptional locus." African Journal of Mathematics and Computer Science Research 4.1 (2011): 1 - 5.
   
DOI
URL http://academicjournals.org/journal/AJMCSR/article-abstract/C7749D81563

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