تقرير
An Aubin continuity path for shrinking gradient K\'ahler-Ricci solitons
| العنوان: | An Aubin continuity path for shrinking gradient K\'ahler-Ricci solitons |
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| المؤلفون: | Cifarelli, Charles, Conlon, Ronan J., Deruelle, Alix |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry |
| الوصف: | Let $D$ be a toric K\"ahler-Einstein Fano manifold. We show that any toric shrinking gradient K\"ahler-Ricci soliton on certain toric blowups of $\mathbb{C}\times D$ satisfies a complex Monge-Amp\`ere equation. We then set up an Aubin continuity path to solve this equation and show that it has a solution at the initial value of the path parameter. This we do by implementing another continuity method. Comment: 66 pages, various corrections, Proposition 7.15 revised |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2205.08482 |
| رقم الأكسشن: | edsarx.2205.08482 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |