تقرير
Semipositive line bundles on punctured Riemann surfaces: Bergman kernels and random zeros
| العنوان: | Semipositive line bundles on punctured Riemann surfaces: Bergman kernels and random zeros |
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| المؤلفون: | Liu, Bingxiao, Zielinski, Dominik |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Differential Geometry, 32A25, 30C15, 30F99, 32L05, 60D05 |
| الوصف: | We give an extensive study on the Bergman kernel expansions and the random zeros associated with the high tensor powers of a semipositive line bundle on a complete punctured Riemann surface. We prove several results for the zeros of Gaussian holomorphic sections in the semi-classical limit, including the equidistribution, large deviation estimates, central limit theorem, and number variances. Comment: 45 pages; all comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.15106 |
| رقم الأكسشن: | edsarx.2407.15106 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |