التفاصيل البيبلوغرافية
| العنوان: |
Families of holomorphic bundles |
| المؤلفون: |
Andrei Teleman |
| المساهمون: |
The Pennsylvania State University CiteSeerX Archives |
| المصدر: |
http://arxiv.org/pdf/0704.2629v3.pdfTest. |
| سنة النشر: |
2008 |
| المجموعة: |
CiteSeerX |
| مصطلحات موضوعية: |
Contents |
| الوصف: |
The first goal of the article is to solve several fundamental problems in the theory of holomorphic bundles over non-algebraic manifolds: For instance we prove that stability and semi-stability are Zariski open properties in families when the Gauduchon degree map is a topological invariant, or when the parameter manifold is compact. Second we show that, for a generically stable family of bundles over a Kähler manifold, the Petersson-Weil form extends as a closed positive current on the whole parameter space of the family. This extension theorem uses classical tools from Yang-Mills theory developed by Donaldson and Simpson (e.g. the heat equation for Hermitian metrics and its properties). We apply these results to study families of bundles over a Kählerian manifold Y parameterized by a non-Kählerian surface X, proving that such families must satisfy very restrictive conditions. These results play an important role in our program to prove existence of curves on class VII |
| نوع الوثيقة: |
text |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| العلاقة: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.312.3302Test; http://arxiv.org/pdf/0704.2629v3.pdfTest |
| الإتاحة: |
http://arxiv.org/pdf/0704.2629v3.pdfTest |
| حقوق: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: |
edsbas.34893521 |
| قاعدة البيانات: |
BASE |
