KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\)
DOI:
https://doi.org/10.37569/DalatUniversity.12.2.887(2022)Keywords:
Configuration of points, Finite set of points, Hilbert function, Kähler differential module.Abstract
Given a finite set of points in the projective plane, we use the module of Kähler differentials to investigate the configurations of these points. More precisely, depending on the values of the Hilbert function of the module of Kähler differential 3-forms, we determine whether the set of points lies on a nonsingular conic, on two different lines, or on a single line.
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Copyright (c) 2022 Tran Nguyen Khanh Linh, Le Ngoc Long.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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