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Welcome to the homepage of Iku Nakamura

### Japanese

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Lectures

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

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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

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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.

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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)

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Japanese Articles

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

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

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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)