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학술저널

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

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Let {Ct} be a pencil of smooth quartics for t ≠ 0 degenerating to a plane quartic C₀ with an ordinary cusp of multiplicity 3. We compute the stable limit as t → 0 of {Ct} when the total surface of this family has a triple point at the singular point of C₀.

Abstract

1. Introduction

2. The stable limits of the families that we study

3. Families arising from the lines through the origin in the deformation space of y³ = x⁴

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