Seiberg-Witten Invariants and Rationality of Complex Surfaces
Teleman, Andrei ; Okonek, Christian
HAL, hal-00881770 / Harvested from HAL
Text on HAL
The purpose of this paper is: 1) to explain the Seiberg-Witten invariants, 2) to show that - on a Kähler surface - the solutions of the monopole equations can be interpreted as algebraic objects, namely effective divisors, 3) to give - as an application - a short selfcontained proof for the fact that rationality of complex surfaces is a C^∞-property.
Publié le : 1997-05-01
Classification:  Seiberg-Witten invariants,  complex surfaces,  rationality,  Van de Ven conjecture,  MSC 57R57, 14J80, 14J26,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] 
@article{hal-00881770,
     author = {Teleman, Andrei and Okonek, Christian},
     title = {Seiberg-Witten Invariants and Rationality of Complex Surfaces},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00881770}
}

Teleman, Andrei; Okonek, Christian. Seiberg-Witten Invariants and Rationality of Complex Surfaces. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00881770/