تقرير
A semi-numerical algorithm for the homology lattice and periods of complex elliptic surfaces over the projective line
| العنوان: | A semi-numerical algorithm for the homology lattice and periods of complex elliptic surfaces over the projective line |
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| المؤلفون: | Pichon-Pharabod, Eric |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Computer Science - Symbolic Computation, Primary 14Q10, Secondary 32G20, 14D05 |
| الوصف: | We provide an algorithm for computing an effective basis of homology of elliptic surfaces over the complex projective line on which integration of periods can be carried out. This allows the heuristic recovery of several algebraic invariants of the surface, notably the N\'eron-Severi lattice, the transcendental lattice, the Mordell-Weil group and the Mordell-Weil lattice. This algorithm comes with a SageMath implementation. Comment: 17 pages, 4 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.05131 |
| رقم الأكسشن: | edsarx.2401.05131 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |