Current research
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I am studying Calabi-Yau manifolds in wider sense, mostly K3 surfaces,Calabi-Yau manifolds in the strict sense and compact hyperkaeher manifolds. Currently, I am mainy studying the existence problem of primitive automorphisms, the Kawamata-Morrison cone conjecture, and the(non-)liftability problem of automorphisms of K3 surfaces from positive
characteristic to characteristic zero, from both birational geometrical view and complex dynamical view. |
Selected publications
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- Oguiso, K., Some aspects of explicit birational geometry inspired by complex dynamics, Proceedings of the International Congress of Mathematicians, Seoul 2014 Vol.II 695--721.
- Esnault, H., Oguiso, K., Non-liftability of automorphism groups of a K3 surface in positive characteristic, Math. Ann. 363 (2015) 1187--1206.
- Cantat, S., Oguiso, K., Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups, Amer. J. Math. 137 (2015) 1013--1044.
- Oguiso, K., Truong, T.T., Explicit examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy, Kodaira Centennial issue of the Journal of Mathematical Sciences, the University of Tokyo, 22 (2015) 361--385.
- Campana, F., Oguiso, K., Peternell, Th., Non-algebraic hyperkaehler manifolds, J. Differential Geometry 85 (2010) 397--424.
- Oguiso, K., Bimeromorphic automorphism groups of non-projective hyperkaehler manifolds - a note inspired by C. T. McMullen, J.Differential Geometry 78 (2008) 163--191.
- Oguiso, K., Tits alternative in hyperkaehler manifolds, Math. Research Letters, 13 (2006) 307--316.
- Oguiso, K., Local families of K3 surfaces and applications, J.Algebraic Geometry 12 (2003) 405--433.
- Oguiso, K., On algebraic fiber space structures on a Calabi-Yau 3-folds, International J. Math. 4 (1993) 439--465.
- Oguiso, K., Shioda, T., The Mordell-Weil lattice of a rational elliptic surface, Comment. Math. Univ. St. Paul. 40 (1991) 83--99.
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Memberships, awards and activities
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Mathematical Society of Japan
The MSJ Takebe Katahiro Prizes 1998
Algebra prize 2009
Osaka University Presidential Awards for Achievement in Research 2015
An editor of J. Algebraic Geometry
KIAS Scholar
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