Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

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

  • Kang, Pyung-Lyun (Department of Mathematics Chungnam National University) ;
  • Lee, Dong-Soo (Department of Mathematics Chungnam National University)
  • Received : 1999.06.29
  • Published : 1999.07.31
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Abstract

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 $C_0$.

Keywords

Acknowledgement

Supported by : Chungnam National University, Korea Research Foundation