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Field Algebraic Geometry
Research interests
Calabi-Yau manifolds in wider sense
Current research
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
  1. 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.
  2. Esnault, H., Oguiso, K., Non-liftability of automorphism groups of a K3 surface in positive characteristic, Math. Ann. 363 (2015) 1187--1206.
  3. 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.
  4. 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.
  5. Campana, F., Oguiso, K., Peternell, Th., Non-algebraic hyperkaehler manifolds, J. Differential Geometry 85 (2010) 397--424.
  6. Oguiso, K., Bimeromorphic automorphism groups of non-projective hyperkaehler manifolds - a note inspired by C. T. McMullen, J.Differential Geometry 78 (2008) 163--191.
  7. Oguiso, K., Tits alternative in hyperkaehler manifolds, Math. Research Letters, 13 (2006) 307--316.
  8. Oguiso, K., Local families of K3 surfaces and applications, J.Algebraic Geometry 12 (2003) 405--433.
  9. Oguiso, K., On algebraic fiber space structures on a Calabi-Yau 3-folds, International J. Math. 4 (1993) 439--465.
  10. Oguiso, K., Shioda, T., The Mordell-Weil lattice of a rational elliptic surface, Comment. Math. Univ. St. Paul. 40 (1991) 83--99.
Memberships, awards and activities

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