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Communications in Algebra Volume 41, 2013 - Issue 6
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Original Articles

Some Examples of Simple Small Singularities

Tetsuya Ando Department of Mathematics and Informatics, Chiba University, Chiba, JapanCorrespondence[email protected]
Pages 2193-2204 | Received 27 Apr 2009, Published online: 14 May 2013
 
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Abstract

We provide some examples of simple small singularities of higher dimensional algebraic varieties. One of them is an E 6 type singularity w 2 − z 3 + xy 3 − 3x 2 yz − x 5 + xzw − x 4 y = 0 in ℂ4. We also treat small contractions of curves with higher genera whose normal bundles are not negative.

2000 Mathematics Subject Classification:

Notes

Communicated by S. Kleiman.

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