On triple curves through a rational triple point of a surface

M. R. Gonzalez-Dorrego

Annales Polonici Mathematici (2006)

  • Volume: 88, Issue: 1, page 1-17
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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M. R. Gonzalez-Dorrego. "On triple curves through a rational triple point of a surface." Annales Polonici Mathematici 88.1 (2006): 1-17. <http://eudml.org/doc/280696>.

@article{M2006,
abstract = {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.},
author = {M. R. Gonzalez-Dorrego},
journal = {Annales Polonici Mathematici},
keywords = {triple points},
language = {eng},
number = {1},
pages = {1-17},
title = {On triple curves through a rational triple point of a surface},
url = {http://eudml.org/doc/280696},
volume = {88},
year = {2006},
}

TY - JOUR
AU - M. R. Gonzalez-Dorrego
TI - On triple curves through a rational triple point of a surface
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 1
SP - 1
EP - 17
AB - 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.
LA - eng
KW - triple points
UR - http://eudml.org/doc/280696
ER -

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