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|Title:||Compact Kähler surfaces with trivial canonical bundle|
|Other Titles:||Compact Kahler surfaces with trivial canonical bundle|
|Citation:||Annals of Global Analysis and Geometry, 2003; 23(2):189-204|
|Publisher:||Kluwer Academic Publ|
|Abstract:||The classical conjectures of Weil on K3 surfaces – that the set of such surfaces is connected; that a version of the Torelli theorem holds; that each such surface is Kähler; and that the period map is surjective – are reconsidered in the light of a generalisation of the Nakai-Moishezon criterion, and short proofs of all the conjectures are given. Most of the proofs apply equally or with minor variation to complex 2-tori, the only other compact Kähler surfaces with trivial canonical bundle.|
|Keywords:||Kähler surface; K3 surface; complex 2-torus; period map; Torelli theorem|
|Description:||The original publication can be found at www.springerlink.com|
|Rights:||© 2003 Kluwer Academic Publishers|
|Appears in Collections:||Pure Mathematics publications|
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