Report
On compact complex surfaces with finite homotopy rank-sum
| العنوان: | On compact complex surfaces with finite homotopy rank-sum |
|---|---|
| المؤلفون: | Biswas, Indranil, Hajra, Buddhadev |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Complex Variables, Mathematics - Geometric Topology, 14F35, 14F45, 14J10, 55P20, 55R10 |
| الوصف: | A topological space (not necessarily simply connected) is said to have finite homotopy rank-sum if the sum of the ranks of all higher homotopy groups (from the second homotopy group onward) is finite. In this article, we characterize the smooth compact complex Kaehler surfaces having finite homotopy rank-sum. We also prove the Steinness of the universal cover of these surfaces assuming holomorphic convexity of the universal cover. Comment: Final version; Proc. Amer. Math. Soc. (to appear) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.04558 |
| رقم الانضمام: | edsarx.2408.04558 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |