主な著書・論文 |
(2010年以降)
- (with E. Kobayashi)
A Galois counterexample to Hilbert's Fourteenth Problem in dimension three with rational coefficients, in "Affine Algebraic Geometry" Proceedings (Osaka, Japan, 3-6 March 2011), Chapter 6, to appear.
- An algorithm for deciding tameness of polynomial automorphisms in three variables, Proc. CAAG 2010, RMS-Lecture Notes Series No. 17, 2013, to appear.
- (with E. Edo, T. Kanehira,M. Karas) Separability of wild automorphisms of a polynomial ring. Transform. Groups 18 (2013), 81-96.
- Elementary reducibility of automorphisms of a vector group, Saitama Math. J. 29 (2012), 79-87.
- Wildness of polynomial automorphisms: Applications of the Shestakov-Umirbaev theory and its generalization, in Higher Dimensional Algebraic Geometry, 103-120, RIMS Kokyuroku Bessatsu, B24 Res. Inst. Math. Sci. (RIMS), Kyoto, 2011.
- Initial algebras and the Jung-van der Kulk theorem, in Affine Algebraic Geometry: The Russell Festschrift, 193-204, CRM Proceedings & Lecture Notes, 54, Amer. Math. Soc., Providence, RI, 2011.
- Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism, Tohoku Math. J. 62 (2010), 75-115.
−> (2009年以前)
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