We give a short proof for the fact that rationality of complex surfaces is a property depending only on the differential structure. Our proof uses the new Seiberg-Witten invariants.
Publié le : 1995-07-05
Classification:
Seiberg-Witten invariants,
complex surfaces,
Van de Ven conjecture,
rationality,
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-00881778,
author = {Teleman, Andrei and Okonek, Christian},
title = {Les Invariants de Seiberg-Witten et la Conjecture de Van De Ven},
journal = {HAL},
volume = {1995},
number = {0},
year = {1995},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00881778}
}
Teleman, Andrei; Okonek, Christian. Les Invariants de Seiberg-Witten et la Conjecture de Van De Ven. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00881778/