• Title/Summary/Keyword: (semi-)stable reduction theorem

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ON SPECIAL DEFORMATIONS OF PLANE QUARTICS WITH AN ORDINARY CUSP OF MULTIPLICITY THREE

  • Kang, Pyung-Lyun;Lee, Dong-Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.12 no.1
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    • pp.147-155
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    • 1999
  • Let {$C_t$} be a pencil of smooth quartics for $t{\neq}0$ degenerating to a plane quartic $C_0$ with an ordinary cusp of multiplicity 3. We compute the stable limit as $t{\rightarrow}0$ of {$C_t$} when the total surface of this family has a triple point at the singular point of $C_0$.

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