Abstract
We prove that in the class of (3, 4)-nets with double and triple points, lattice isomorphism actually translates into lattice isotopy. We disprove the existence of Zariski pairs involving an example of Yoshinaga of a (3, 6)-net with 48 triple points.
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Acknowledgements
The authors would like to thank Professor Viviana Ene for her kind assistance in dealing with Singular and Grobner basis arguments in the last example.
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Dedicated to Professors Alexandru Dimca and Ştefan Papadima on the occasion of their 60th birthday
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Ibadula, D., Măcinic, D.A. (2014). Some Remarks on the Realizability Spaces of (3,4)-Nets. In: Ibadula, D., Veys, W. (eds) Bridging Algebra, Geometry, and Topology. Springer Proceedings in Mathematics & Statistics, vol 96. Springer, Cham. https://doi.org/10.1007/978-3-319-09186-0_10
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DOI: https://doi.org/10.1007/978-3-319-09186-0_10
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