تقرير
Log continuity of solutions of complex Monge-Amp\`ere equations
| العنوان: | Log continuity of solutions of complex Monge-Amp\`ere equations |
|---|---|
| المؤلفون: | Do, Hoang-Son, Vu, Duc-Viet |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Analysis of PDEs, Mathematics - Differential Geometry |
| الوصف: | Let X be a compact Kaehler manifold with semipositive anticanonical line bundle. Let L be a big and semi-ample line bundle on X and $\alpha$ be the Chern class of L. We prove that the solution of the complex Monge-Amp\`ere equations in $\alpha$ with Lp righthand side (p > 1) is $\log^M$-continuous for every constant M > 0. As an application, we show that every singular Ricci-flat metric in a semi-ample class in a projective Calabi-Yau manifold X is globally $\log^M$-continuous with respect to a smooth metric on X. Comment: 36 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.04128 |
| رقم الأكسشن: | edsarx.2312.04128 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |