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.
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Communicated by S. Kleiman.