Anti-self-dual bihermitian structures on Inoue surfaces
Fujiki, Akira ; Pontecorvo, Massimiliano
J. Differential Geom., Tome 84 (2010) no. 1, p. 15-72 / Harvested from Project Euclid
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In this article we show that any hyperbolic Inoue surface (also called Inoue-Hirzebruch surface of even type) admits anti-self-dual bihermitian structures. The same result holds for any of its small deformations as far as its anti-canonical system is non-empty. Similar results are obtained for parabolic Inoue surfaces. Our method also yields a family of anti-self-dual hermitian metrics on any half Inoue surface. We use the twistor method of Donaldson-Friedman for the proof.
Publié le : 2010-05-15
Classification:  
@article{1284557925,
     author = {Fujiki, Akira and Pontecorvo, Massimiliano},
     title = {Anti-self-dual bihermitian structures on Inoue surfaces},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 15-72},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1284557925}
}

Fujiki, Akira; Pontecorvo, Massimiliano. Anti-self-dual bihermitian structures on Inoue surfaces. J. Differential Geom., Tome 84 (2010) no. 1, pp.  15-72. http://gdmltest.u-ga.fr/item/1284557925/