تقرير
Rational points on even dimensional Fermat cubics
| العنوان: | Rational points on even dimensional Fermat cubics |
|---|---|
| المؤلفون: | Massarenti, Alex |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Number Theory, Mathematics - Rings and Algebras, Primary 12F20, 12E10, 14E08, 14M20, 12F10, Secondary 14G05 |
| الوصف: | We show that even dimensional Fermat cubic hypersurfaces are rational over any field of characteristic different from three by producing explicit rational parametrizations given by polynomials of low degree. As a byproduct of our rationality constructions we get estimates on the number of their rational points over a number field, and a class of quadro-cubic Cremona correspondences of even dimensional projective spaces. Comment: 26 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.07223 |
| رقم الأكسشن: | edsarx.2406.07223 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |