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2011 Resolving Toric Varieties with Nash Blowups
Atanas Atanasov, Christopher Lopez, Alexander Perry, Nicholas Proudfoot, Michael Thaddeus
Experiment. Math. 20(3): 288-303 (2011).

Abstract

It is a long-standing questionwhether an arbitrary variety is desingularized by finitely many normalized Nash blowups. We consider this question in the case of a toric variety. We interpret the normalized Nash blowup 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.

Citation

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Atanas Atanasov. Christopher Lopez. Alexander Perry. Nicholas Proudfoot. Michael Thaddeus. "Resolving Toric Varieties with Nash Blowups." Experiment. Math. 20 (3) 288 - 303, 2011.

Information

Published: 2011
First available in Project Euclid: 6 October 2011

zbMATH: 1266.14039
MathSciNet: MR2836254

Subjects:
Primary: 14M25 , 52B20

Keywords: iteration , Nash blowups , resolution of singularities , toric varieties

Rights: Copyright © 2011 A K Peters, Ltd.

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Vol.20 • No. 3 • 2011
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