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The Nash problem on arc families of singularities | | Shihoko Ishii
; János Kollár
; | | Date: |
19 Jul 2002 | | Subject: | Algebraic Geometry MSC-class: 14J17, 14M25, 14J10 | math.AG | | Affiliation: | Tokyo Institute of Technology) and János Kollár (Princeton University | | Abstract: | Nash proved that every irreducible component of the space of arcs through a singularity corresponds to an exceptional divisor that occurs on every resolution. He asked if the converse also holds: does every such exceptional divisor correspond to an arc family? We prove that the converse holds for toric singularities but fails in general. | | Source: | arXiv, math.AG/0207171 | | Services: | Forum | Review | PDF | Favorites | |
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