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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Acknowledgements
We would like to thank the referees for their careful reading and their comments. The second author would also like to thank José Seade for financial support through the project FORDECyT-265667.
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Duarte, D., Tripp, D.G. (2018). Nash Modification on Toric Curves. In: Greuel, GM., Narváez Macarro, L., Xambó-Descamps, S. (eds) Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics. Springer, Cham. https://doi.org/10.1007/978-3-319-96827-8_8
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DOI: https://doi.org/10.1007/978-3-319-96827-8_8
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