arXiv Open Access 2004

A new Invariant for Plane Curve Singularities

Thomas Keilen Christoph Lossen

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Abstrak

Greuel, Lossen and Shustin gave a general sufficient numerical condition for the T-smoothness (smoothness and expected dimension) of equisingular families of plane curves. This condition involves a new invariant γfor plane curve singularities, and it is conjectured to be asymptotically proper. In math.AG/0308247, similar sufficient numerical conditions are obtained for the T-smoothness of equisingular families on various classes surfaces. These conditions involve a series of invariants γ_a, 0 <= a <= 1, with γ_1=γ. In the present paper we compute (respectively give bounds for) these invariants for semiquasihomogeneous singularities.

Topik & Kata Kunci

math.AG

Penulis (2)

Thomas Keilen

Christoph Lossen

Format Sitasi

APA MLA BibTeX

Keilen, T., Lossen, C. (2004). A new Invariant for Plane Curve Singularities. https://arxiv.org/abs/math/0409404

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2004
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓