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arXiv · 2509.08403

Examples of strong Ziegler pairs of conic-line arrangements of degree 7 and 8

Shinzo Bannai·Hiro-o Tokunaga
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Abstract

A pair of plane curves with the same combinatorics is said to be (a) a Zariski pair if the plane curves have different embedded topology, and (b) a strong Ziegler pair if their Milnor algebra are not isomorphic. We show that some examples of Zariski pairs are also strong Ziegler pairs.

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Shinzo Bannai, Hiro-o Tokunaga. 2025-09-10. Examples of strong Ziegler pairs of conic-line arrangements of degree 7 and 8. https://arxiv.org/abs/2509.08403

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