Welcome to the homepage of Iku Nakamura


Japanese

Lectures

Iku NAKAMURA: Hesse cubics and GIT stability,  2014.2.17, Academia Sinica, Taipei, Taiwan

  

English Papers

Akira ISHII and Iku NAKAMURA: Extended McKay correspondence for quotient surface singularities, http://arxiv.org/abs/1609.04143

  

Iku NAKAMURA: Compactification by GIT stability of the moduli space of abelian varieties, Kyoto university, ASPM vol. 69, No. 5 (2016) 207-286. arXiv math. 1406.0174

  

Another canonical compactification of the moduli space of abelian varieties, Iku Nakamura, Algebraic and Arithmetic Structures of Moduli Spaces (Sapporo, 2007), Advanced Studies of Pure Mathematics 58, (2010) 69-135; arXiv:math/0107158.

McKay correspondence, Iku Nakamura, Centre de Recherches Mathematiques CRM Proceedings and Lecture Notes, Volume 47, 2009, 267-298 (PDF FILE)

Coinvariant algebras of finite subgroups of SL(3,C), Yasushi Gomi, Iku Nakamura, Ken-ichi Shinoda, Canadian Jour. Mathematics, vol 56 (4) (2004) 495-528 (PDF FILE)

Planar cubic curves -- From Hesse to Mumford, Iku Nakamura, July 2002 (in English)(PDF FILE)

Hilbert schemes of abelian group orbits, lku Nakamura, J. Alg. Geom. Vol.10 (2001), 757-779 (PDF FILE)

Hilbert schemes of G-orbits in dimension three, Yasushi Gomi, Iku Nakamura, Ken-ichi Shinoda, Asian J. Math. (Kodaira issue) Vol. 4 (2000) 51-70 (PDF FILE)

Stability of degenerate abelian varieties, Iku Nakamura, Invent. Math. Vol. 136 (1999) 659-715 Downloadable from http://www.springerlink.com/content/0ldehv9yryfew421/

Hilbert schemes and simple singularities, Yukari Ito and lku Nakamura, A new trend in algebraic geometry, Cambridge university press (1999), 151-233 (PDF FILE)

Japanese Articles

From Physics to Geometry --- Moduli and Path integral Mathematical Science, August 2005 (PDF FILE)

Pi is almost equal to 3.14, Sugaku Seminar, November 2003, in Japanese (PDF FILE)

My soroban computer, Sugaku Seminar, June 2003, in Japanese (PDF FILE)

Explain difficult issues in a manner easy to understand, and easy issues deeply, Sugaku Seminar, April 2003, in Japanese (PDF FILE)

Moduli spaces, Sugaku Seminar, in Special issue "Nine key words which predict the next decade", May 2002, in Japanese (PDF FILE)

McKay correspondence and Hilbert schemes, HAVE FUN WITH MATHEMATICS, 28, December 2001, in Japanese (PDF FILE)

Correction to "McKay correspondence and Hilbert schemes, HAVE FUN WITH MATHEMATICS, 28, December 2001", in Japanese (PDF FILE)

McKay correspondence and Hilbert schemes, Proc. of Kinosaki symposium 2001, pp.1-17 in Japanese (PDF FILE)

Newton's coat armor, HAVE FUN WITH MATHEMATICS, no.27, October 2001, in Japanese (PDF FILE)

Newton's bridge, HAVE FUN WITH MATHEMATICS, no.26, August 2001, in Japanese (PDF FILE)

Moduli and Deformation Theory, HAVE FUN WITH MATHEMATICS, no.20, August 2000, in Japanese (PDF FILE)

Professor Kodaira in the tea room, HAVE FUN WITH MATHEMATICS, no.20, August 2000, in Japanese (PDF FILE)

Kodaira's Theory of Deformation and its Recent Progress, Sugaku Seminar, December 1997, in Japanese (PDF FILE)