Smooth double subvarieties on singular varieties, III

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

Abstrakty

EN

Let k be an algebraically closed field, char k = 0. Let C be an irreducible nonsingular curve such that rC = S ∩ F, r ∈ ℕ, where S and F are two surfaces and all the singularities of F are of the form $z³ = x^{3s} - y^{3s}$, s ∈ ℕ. We prove that C can never pass through such kind of singularities of a surface, unless r = 3a, a ∈ ℕ. We study multiplicity-r structures on varieties r ∈ ℕ. Let Z be a reduced irreducible nonsingular (n-1)-dimensional variety such that rZ = X ∩ F, where X is a normal n-fold, F is a (N-1)-fold in $ℙ^{N}$, such that Z ∩ Sing (X) ≠ ∅. We study the singularities of X through which Z passes.

Kategorie tematyczne

• 14E15: Global theory and resolution of singularities
• 14B05: Singularities
• 14J17: Singularities
• 14J70: Hypersurfaces
• 14J40: n -folds ( n > 4 )
• 14J35: 4 -folds
• 32S25: Surface and hypersurface singularities
• 14J30: 3 -folds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2016
• Tom: 108
• Numer: 1
• Strony: 85-93

Daty

wydano

2016

Twórcy

autor

M. R. Gonzalez-Dorrego

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

Identyfikatory

DOI

10.4064/bc108-0-7