2013 / June Volume 8 No.2
Tower of Coverings and Complex Structures on Four Dimensional Manifolds
| Published Date |
2013 / June
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|---|---|
| Title | Tower of Coverings and Complex Structures on Four Dimensional Manifolds |
| Author | |
| Keyword | |
| Download | |
| Pagination | 269-283 |
| Abstract | We study a tower of coverings of a real four dimensional manifold and its relations to properties such as complex structures and existence of meromorphic functions. This allows us revisit the question of existence of a complex structure on an almost complex surface from a perspective different from the usual one. A consequence is the existence of
an almost complex surface with any prescribed set of Chern numbers $c_1^2$ and $c_2$
satisfying the Noether relation but supporting no integrable 'almost' complex structure.
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| AMS Subject Classification |
32Q55, 32Q60, 53C15, 14J99
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| Received |
2013-05-13
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| Accepted |
2013-05-13
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