# Seiberg-Witten invariants and rationality of complex surfaces

Okonek, C; Teleman, A (1997). Seiberg-Witten invariants and rationality of complex surfaces. Mathematische Zeitschrift, 225(1):139-149.

## Abstract

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 ${\cal C}^{\infty}$-property.

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 ${\cal C}^{\infty}$-property.

## Citations

1 citation in Web of Science®
2 citations in Scopus®

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 1997 29 Nov 2010 16:28 05 Apr 2016 13:26 Springer 0025-5874 The original publication is available at www.springerlink.com https://doi.org/10.1007/PL00004300 http://arxiv.org/abs/alg-geom/9505014http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0883.57022
Permanent URL: https://doi.org/10.5167/uzh-22248