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arXiv · 2103.07639

Trisections on Certain Rational Elliptic Surfaces and Families of Zariski Pairs Degenerating to the same Conic-line Arrangement

S. Bannai·N. Kawana·R. Masuya·H. Tokunaga
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Abstract

In this paper, we study the geometry of trisections on certain rational elliptic surfaces. We utilize Mumford representations of semi-reduced divisors in order to construct trisections and related plane curves with interesting properties explicitly. As a result we are able to construct new examples of Zariski pairs. Especially, we show the existence of a family of Zariski pairs that degenerate to the same conic-line arrangement.

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S. Bannai, N. Kawana, R. Masuya, H. Tokunaga. 2021-03-13. Trisections on Certain Rational Elliptic Surfaces and Families of Zariski Pairs Degenerating to the same Conic-line Arrangement. https://arxiv.org/abs/2103.07639

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