arXiv Open Access 2007

Reducible Families of Curves with Ordinary Multiple Points on Surfaces in Projective Three-Space

Thomas Keilen

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Abstrak

In math.AG/0108089, math.AG/0212090 and math.AG/0308247 we gave numerical conditions which ensure that an equisingular family is irreducible respectively T-smooth. Combining results by Greuel, Lossen and Shustin and an idea from math.AG/9802009 we give in the present paper series of examples of families of irreducible curves on surfaces in projective three-space with only ordinary multiple points which are reducible and where at least one component does not have the expected dimension. The examples show that for families of curves with ordinary multiple points the conditions for T-smoothness in math.AG/0308247 have the right asymptotics.

Topik & Kata Kunci

math.AG

Penulis (1)

Thomas Keilen

Format Sitasi

APA MLA BibTeX

Keilen, T. (2007). Reducible Families of Curves with Ordinary Multiple Points on Surfaces in Projective Three-Space. https://arxiv.org/abs/0706.2440

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Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓