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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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1997
Deposited On:29 Nov 2010 16:28
Last Modified:05 Apr 2016 13:26
Publisher:Springer
ISSN:0025-5874
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1007/PL00004300
Related URLs:http://arxiv.org/abs/alg-geom/9505014
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0883.57022

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