KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\)
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...
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| Format: | Article |
| Language: | English |
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Dalat University
2022-01-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
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| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/887 |
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| _version_ | 1832569045642117120 |
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| author | Nguyen Khanh Linh Tran Ngoc Long Le |
| author_facet | Nguyen Khanh Linh Tran Ngoc Long Le |
| author_sort | Nguyen Khanh Linh Tran |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4ccb4cc8558a48a9a0579893c38a058c |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-4ccb4cc8558a48a9a0579893c38a058c2025-02-02T23:31:55ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2022-01-01486010.37569/DalatUniversity.12.2.887(2022)638KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\)Nguyen Khanh Linh Tran0Ngoc Long Le1University of Education, Hue UniversityUniversity of Education, Hue UniversityGiven 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.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/887configuration of pointsfinite set of pointshilbert functionkähler differential module. |
| spellingShingle | Nguyen Khanh Linh Tran Ngoc Long Le KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\) Tạp chí Khoa học Đại học Đà Lạt configuration of points finite set of points hilbert function kähler differential module. |
| title | KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\) |
| title_full | KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\) |
| title_fullStr | KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\) |
| title_full_unstemmed | KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\) |
| title_short | KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\) |
| title_sort | kahler differential modules and configurations of points in mathbb p 2 |
| topic | configuration of points finite set of points hilbert function kähler differential module. |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/887 |
| work_keys_str_mv | AT nguyenkhanhlinhtran kahlerdifferentialmodulesandconfigurationsofpointsinmathbbp2 AT ngoclongle kahlerdifferentialmodulesandconfigurationsofpointsinmathbbp2 |