On (2,3) torus decompositions of QL-congurations

Masayuki Kawashima; Kenta Yoshizaki

doi:10.55937/sut/1279305513

January 2010 On

(2,3)

torus decompositions of

Q L

-congurations

Masayuki Kawashima, Kenta Yoshizaki

Author Affiliations +

SUT J. Math. 46(1): 93-117 (January 2010). DOI: 10.55937/sut/1279305513

Abstract

Let $Q$ be an affine quartic which does not intersect transversely with the line at infinity ${L_\infty }$ such that there exists a ${D_2}_p$ -covering over $\mathbb{P}^2$ branched along $Q \cup {L_\infty }$ . In this paper, we show the existence of a $(2,3)$ torus decomposition of the defining polynomial of $Q$ and its uniqueness except for one class.

Acknowledgment

We would like to express our deepest gratitude to Professor Hiro-o Tokunaga who has proposed this problem. We also express our deepest gratitude to Professor Mutsuo Oka for his various advices during the preparation of this paper.

Citation

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Masayuki Kawashima. Kenta Yoshizaki. "On $(2,3)$ torus decompositions of $Q L$ -congurations." SUT J. Math. 46 (1) 93 - 117, January 2010. https://doi.org/10.55937/sut/1279305513