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Branched coverings of CP2 and invariants of symplectic 4-manifolds
 

Summary: Branched coverings of CP2 and
invariants of symplectic 4-manifolds
Denis AUROUX
June 22, 1999
1) Geometry
2) Topology (joint with L. Katzarkov)
Introduction
X compact Kähler manifold, L ample bundle.
Holomorphic sections of Lk
, k 0
projective embedding X CPN
(Kodaira).
smooth hypersurfaces (Bertini).
. . .
X complex surface, 3 generic sections of Lk
f : X CP2
branched covering,
singularities = cusps + nodes.
(X2n
, ) compact symplectic manifold :

  

Source: Auroux, Denis - Department of Mathematics, Massachusetts Institute of Technology (MIT)

 

Collections: Mathematics