On triple curves through a rational triple point of a surface
Annales Polonici Mathematici, Volume 88 (2006) no. 1, pp. 1-17
See the original article notice from the Institute of Mathematics Polish Academy of Sciences source
Let $k$ be an algebraically closed field of characteristic $0$. Let $C$ be an irreducible nonsingular curve in ${{\mathbb P}}^n$ such that $3C=S\cap F$, where $S$ is a hypersurface and $F$ is a surface in ${{\mathbb P}}^n$ 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.
Keywords:
algebraically closed field characteristic irreducible nonsingular curve mathbb cap where hypersurface surface mathbb has rational triple points classify rational triple points through which curve pass theorem example only consider reduced irreducible surfaces
Author's affiliations:
M. R. Gonzalez-Dorrego 1
M. R. Gonzalez-Dorrego. On triple curves through a rational triple point of a surface. Annales Polonici Mathematici, Volume 88 (2006) no. 1, pp. 1-17. doi: 10.4064/ap88-1-1
@article{10_4064_ap88_1_1,
author = {M. R. Gonzalez-Dorrego},
title = {On triple curves through a rational triple point of a surface},
journal = {Annales Polonici Mathematici},
pages = {1--17},
year = {2006},
volume = {88},
number = {1},
doi = {10.4064/ap88-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-1/}
}
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