On triple curves through a rational triple point of a surface

• Autorzy: M. R. Gonzalez-Dorrego
• Języki publikacji: EN

Abstrakty

EN

Let k be an algebraically closed field of characteristic 0. Let C be an irreducible nonsingular curve in ℙⁿ such that 3C = S ∩ F, where S is a hypersurface and F is a surface in ℙⁿ and F has rational triple points. We classify the rational triple points through which such a curve C can pass (Theorem 1.8), and give an example (1.12). We only consider reduced and irreducible surfaces.

Kategorie tematyczne

• 14H45: Special curves and curves of low genus
• 14J17: Singularities
• 14J25: Special surfaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 1
• Strony: 1-17

Daty

wydano

2006

Twórcy

autor

M. R. Gonzalez-Dorrego

• Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Identyfikatory

DOI

10.4064/ap88-1-1