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Resolving toric varieties with Nash blow-ups

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 نشر من قبل Michael Thaddeus
 تاريخ النشر 2009
  مجال البحث
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It is a long-standing question whether an arbitrary variety is desingularized by finitely many normalized Nash blow-ups. We consider this question in the case of a toric variety. We interpret the normalized Nash blow-up in polyhedral terms, show how continued fractions can be used to give an affirmative answer for a toric surface, and report on a computer investigation in which over a thousand 3- and 4-dimensional toric varieties were successfully resolved.



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