Smooth double subvarieties on singular varieties, III

M. R. Gonzalez-Dorrego. "Smooth double subvarieties on singular varieties, III." Banach Center Publications 108.1 (2016): 85-93. <http://eudml.org/doc/286446>.

@article{M2016,
abstract = {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.},
author = {M. R. Gonzalez-Dorrego},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {85-93},
title = {Smooth double subvarieties on singular varieties, III},
url = {http://eudml.org/doc/286446},
volume = {108},
year = {2016},
}

TY - JOUR
AU - M. R. Gonzalez-Dorrego
TI - Smooth double subvarieties on singular varieties, III
JO - Banach Center Publications
PY - 2016
VL - 108
IS - 1
SP - 85
EP - 93
AB - 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.
LA - eng
UR - http://eudml.org/doc/286446
ER -