Okonek, C; Teleman, A (1997). Seiberg-Witten invariants and rationality of complex surfaces. Mathematische Zeitschrift, 225(1):139-149.
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.
| 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: | 24 Sep 2019 16:17 |
| Publisher: | Springer |
| ISSN: | 0025-5874 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Green |
| 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 |
Okonek, C