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J. Korean Math. Soc. 2000; 37(3): 411-436

Printed May 1, 2000

Copyright © The Korean Mathematical Society.

On singular plane quartics as limits of smooth curves of genus three

Pyung-Lyun Kang

Chungnam National University

Abstract

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We compute $\lim_{t\to 0}C_t$ in $\overline{\mathcal M}_3$ of some family $\pi:\mathcal C \to \Delta$ of plane quartics whose general members are nonsingular.

Keywords: family of plane quartics, semistable reduction, stable curves

MSC numbers: 14H10

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