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Algebraic surfaces holomorphically dominable by ℂ2

✍ Scribed by Gregery T. Buzzard; Steven S. Y. Lu


Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
344 KB
Volume
139
Category
Article
ISSN
0020-9910

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Holomorphic vector bundles on non-algebr
✍ Andrei Teleman; Matei Toma 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 72 KB

The existence problem for holomorphic structures on vector bundles over non-algebraic surfaces is, in general, still open. We solve this problem in the case of rank 2 vector bundles over K3 surfaces and in the case of vector bundles of arbitrary rank over all known surfaces of class VII. Our methods