On Plane Curves with Double and Triple Points

Authors

  • Nancy Abdallah

DOI:

https://doi.org/10.7146/math.scand.a-24184

Abstract

We describe in simple geometric terms the Hodge filtration on the cohomology $H^*(U)$ of the complement $U=\mathsf{P}^2 \setminus C$ of a plane curve $C$ with ordinary double and triple points. Relations to Milnor algebra, syzygies of the Jacobian ideal and pole order filtration on $H^2(U)$ are given.

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Published

2016-08-19

Issue

Vol. 119 No. 1 (2016)

Section

Articles

How to Cite

[1]
N. Abdallah, “On Plane Curves with Double and Triple Points”, Math. Scand., vol. 119, no. 1, pp. 60–72, Aug. 2016, doi: 10.7146/math.scand.a-24184.