arXiv Open Access 2020

On Lipschitz Normally Embedded complex surface germs

André Belotto da Silva Lorenzo Fantini Anne Pichon

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Abstrak

We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prove in particular that the topological type of such a germ determines the combinatorics of its minimal resolution which factors through the blowup of its maximal ideal and through its Nash transform, as well as the polar curve and the discriminant curve of a generic plane projection, thus generalizing results of Spivakovsky and Bondil that were known for minimal surface singularities. In an appendix, we give a new example of a Lipschitz Normally Embedded surface singularity.

Topik & Kata Kunci

math.AG

Penulis (3)

André Belotto da Silva

Lorenzo Fantini

Anne Pichon

Format Sitasi

APA MLA BibTeX

Silva, A.B.d., Fantini, L., Pichon, A. (2020). On Lipschitz Normally Embedded complex surface germs. https://arxiv.org/abs/2006.01773

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓