Exceptional divisors that are not uniruled belong to the image of the Nash map
2011 ◽
Vol 11
(2)
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pp. 273-287
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AbstractWe prove that, ifXis a variety over an uncountable algebraically closed fieldkof characteristic zero, then any irreducible exceptional divisorEon a resolution of singularities ofXwhich is not uniruled, belongs to the image of the Nash map, i.e. corresponds to an irreducible component of the space of arcs$X_\infty^{\mathrm{Sing}}$onXcentred in SingX. This reduces the Nash problem of arcs to understanding which uniruled essential divisors are in the image of the Nash map, more generally, how to determine the uniruled essential divisors from the space of arcs.
1968 ◽
Vol 9
(2)
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pp. 146-151
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1991 ◽
Vol 122
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pp. 161-179
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2012 ◽
Vol 55
(1)
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pp. 208-213
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2004 ◽
Vol 77
(1)
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pp. 123-128
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1987 ◽
Vol 107
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pp. 147-157
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2006 ◽
Vol 74
(01)
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pp. 41-58
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2010 ◽
Vol 09
(01)
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pp. 11-15
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1994 ◽
Vol 37
(3)
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pp. 374-383
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2012 ◽
Vol 55
(2)
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pp. 271-284
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2014 ◽
Vol 14
(02)
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pp. 1550011
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