تقرير
Curves on complete intersections and measures of irrationality
| العنوان: | Curves on complete intersections and measures of irrationality |
|---|---|
| المؤلفون: | Chen, Nathan, Church, Benjamin, Zhao, Junyan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14D06, 14J70 |
| الوصف: | We study the minimal degrees and gonalities of curves on complete intersections. We prove a classical conjecture which asserts that the degree of any curve on a general complete intersection $X \subseteq \mathbb{P}^N$ cut out by polynomials of large degrees is bounded from below by the degree of $X$. As an application, we verify a conjecture of Bastianelli--De Poi--Ein--Lazarsfeld--Ullery on measures of irrationality for complete intersections. Comment: 28 pages, with an appendix by Mohan Swaminathan |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.12101 |
| رقم الأكسشن: | edsarx.2406.12101 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |