Nash modification on toric curves

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Abstract

We revisit the problem of resolution of singularities of toric curves by iterating the Nash modification. We give a bound on the number of iterations required to obtain the resolution.We also introduce a different approach on counting iterations by dividing the combinatorial algorithm of the Nash modification of toric curves into several division algorithms.

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Duarte, D., & Tripp, D. G. (2018). Nash modification on toric curves. In Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday (pp. 191–202). Springer International Publishing. https://doi.org/10.1007/978-3-319-96827-8_8

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