Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.03390 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913720034131968 |
|---|---|
| author | Pérez-Díaz, Sonia Shen, Li-Yong Wang, Xin-Yu Magdalena-Benedicto, R. |
| author_facet | Pérez-Díaz, Sonia Shen, Li-Yong Wang, Xin-Yu Magdalena-Benedicto, R. |
| contents | Let C represent an irreducible algebraic space curve defined by the real polynomials fi(x1, x2, x3) for i = 1, 2. It is a recognized fact that a birational relationship invariably exists between the points on C and those on an associated irreducible plane curve, denoted as Cp. In this work, we leverage this established relationship to delineate the asymptotic behavior of C by examining the asymptotes of Cp. Building on this foundation, we introduce a novel and practical algorithm designed to efficiently compute the asymptotes of C, given that the asymptotes of Cp have been ascertained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinity Branches and Asymptotic Analysis of Algebraic Space Curves: New Techniques and Applications Pérez-Díaz, Sonia Shen, Li-Yong Wang, Xin-Yu Magdalena-Benedicto, R. Algebraic Geometry Let C represent an irreducible algebraic space curve defined by the real polynomials fi(x1, x2, x3) for i = 1, 2. It is a recognized fact that a birational relationship invariably exists between the points on C and those on an associated irreducible plane curve, denoted as Cp. In this work, we leverage this established relationship to delineate the asymptotic behavior of C by examining the asymptotes of Cp. Building on this foundation, we introduce a novel and practical algorithm designed to efficiently compute the asymptotes of C, given that the asymptotes of Cp have been ascertained. |
| title | Infinity Branches and Asymptotic Analysis of Algebraic Space Curves: New Techniques and Applications |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2503.03390 |