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Date Published: 16/06/2025
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DOI: https://doi.org/10.52714/dthu.14.8.2025.1553
Issue
Vol. 14 No. 8 (2025): Natural Sciences Issue (Vietnamese)
Section
Natural Sciences Issue (Vietnamese)
How to Cite
Tran, N. S. (2025). The regularity index of zero-scheme fat points projective space P3. Dong Thap University Journal of Science, 14(8), 78-87. https://doi.org/10.52714/dthu.14.8.2025.1553

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The regularity index of zero-scheme fat points projective space P3

Nam Sinh Tran1,
1 Faculty of Math, The University of Da Nang, University of Science and Education, Viet Nam

Main Article Content

Abstract

This paper computes the regularity index of a scheme Z = 3P­­­1 + 2P2++2P6  the set of six fat points in projective space P3. With the method of evaluating the upper and lower bounds, it shows the value of the regularization index to be calculated. This result is presented in Theorem 3.4.

Keywords

Fat points, Hilbert funtion, projective space, scheme, the regularity index

Article Details

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

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