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arXiv:1306.1208 [math.AG]AbstractReferencesReviewsResources

Arc spaces of cA-type singularities

Jennifer M. Johnson, János Kollár

Published 2013-06-05Version 1

We study the space of arcs on a singularity of the form xy=f(z_1,..., z_n) and prove 2 main results. (i) The number of irreducible components equals the multiplicity of f minus 1. (ii) If n>1 and the leading homogeneous term of f is not a perfect square then the Nash map from the set of irreducible components to the set of essential divisors is not surjective.

Comments: This paper supersedes arXiv:1207.5036
Categories: math.AG
Subjects: 14E18, 14B05, 14J17, 14E15, 32S05
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