Kyoto Journal of Mathematics

Automorphism groups of Joyce twistor spaces

Akira Fujiki

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We determine the automorphism groups of torus invariant self-dual structures defined by Joyce on the connected sum of copies of the complex projective plane. We determine, actually, the automorphism groups of the associated twistor spaces by using the results of our previous work. When the self-dual structures of Joyce and LeBrun coincide, our results recover the recent results of Honda and Viaclovsky on the automorphism groups of LeBrun’s self-dual structures.

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Kyoto J. Math., Volume 53, Number 2 (2013), 405-432.

First available in Project Euclid: 20 May 2013

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Zentralblatt MATH identifier

Primary: 53C28: Twistor methods [See also 32L25]
Secondary: 14J50: Automorphisms of surfaces and higher-dimensional varieties 32J17: Compact $3$-folds 32L25: Twistor theory, double fibrations [See also 53C28]


Fujiki, Akira. Automorphism groups of Joyce twistor spaces. Kyoto J. Math. 53 (2013), no. 2, 405--432. doi:10.1215/21562261-2081252.

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