Wronski Pairs of Honeycomb Curves
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912120944197632 |
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| author | Casabella, Laura Joswig, Michael Mohr, Rafael |
| author_facet | Casabella, Laura Joswig, Michael Mohr, Rafael |
| contents | We study certain generic systems of real polynomial equations associated with triangulations of convex polytopes and investigate their number of real solutions. Our main focus is set on pairs of plane algebraic curves which form a so-called Wronski system. The computational tasks arising in the analysis of such Wronski pairs lead us to the frontiers of current computer algebra algorithms and their implementations, both via Gröbner bases and numerical algebraic geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wronski Pairs of Honeycomb Curves Casabella, Laura Joswig, Michael Mohr, Rafael Algebraic Geometry Commutative Algebra Combinatorics 14M25, 52B20, 65H10, 13P10 We study certain generic systems of real polynomial equations associated with triangulations of convex polytopes and investigate their number of real solutions. Our main focus is set on pairs of plane algebraic curves which form a so-called Wronski system. The computational tasks arising in the analysis of such Wronski pairs lead us to the frontiers of current computer algebra algorithms and their implementations, both via Gröbner bases and numerical algebraic geometry. |
| title | Wronski Pairs of Honeycomb Curves |
| topic | Algebraic Geometry Commutative Algebra Combinatorics 14M25, 52B20, 65H10, 13P10 |
| url | https://arxiv.org/abs/2411.10776 |