Research keywords (6)：
Relative compactification of N\'eron models
, Moishezon threefolds
, Complex surfaces of class VII
, McKay correspondence
, アーベル多様体のモジュライ
, Moduli of abelian varieties
Research theme for competitive and other funds (40)：
2022 - 2026 Degeneration of abelian varieties and compactification of moduli
2017 - 2023 Compactification of the moduli of abelian varieties over an integer ring
2013 - 2017 Studies on algebraic fibered surfaces by separable quotient and purely inseparable quotient
2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
2011 - 2016 Geometric moduli theory and its theoretical applications
2011 - 2011 アーベル多様体のモジュライの大域的研究
2007 - 2011 Study on algebraic varieties related to moduli spaces and algebraic cycles
2008 - 2010 A global study of the moduli spaces of abelian varieties over the ring of integers
2007 - 2009 非可換レベル構造と志村多様体の整数環上のモデル
2006 - 2009 Stability, Global Galois Representations and Non-Abelian Zeta Functions
2005 - 2008 Research on geometry related to theta functions
2005 - 2008 Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert
2004 - 2007 The global geometry of moduli spaoes
2004 - 2006 Study of gemetric properties and arithmetic properties of higher dimenional algebraic varieties.
2003 - 2006 Study of algebraic varieties by log Hosge theory
2003 - 2006 Arithmetic of Algebraic Varieties and their Moduli Spaces
2003 - 2005 Residues on Singular Varieties
2002 - 2004 Todd類の源を求めて
2000 - 2003 A STUDY ON THE GEOMETRY OF MODULI SPACES
1999 - 2001 モジュライのコンパクト化と閉軌道空間
1999 - 2001 Research on Characteristic Classes of Singular Varieties
1999 - 2001 Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry
1997 - 1999 Synthetic research of algebraic geometry with an expectation of wide applications
1996 - 1999 Study of singularities and geometry by means of representation theory
1997 - 1998 Study of Hyperplane Arrangements
1996 - 1998 Algebraic Geometry and Hodge Theory
1996 - 1996 Classical Problems in Group Theory
1996 - 1996 カラビヤウ多様体,マッケイ対応と単純特異点
1995 - 1996 Research on Complex Analytic Geometry and Singularity Theory
1994 - 1995 Study on Complex Manifolds
1995 - アーベル多様体のモジュライ、ヒルベルトスキーム、
1995 - Moduli of abelian varieties, Hilbert schemes
1994 - 1994 複素多様体の研究-Calabi-Yau 3 foldsの素Mirror変換
1992 - 1992 複素多様体の研究
1991 - 1991 有限群の研究
1990 - 1991 Research on Complex Analytic Geometry and Singularity Theory
1989 - 1989 有限群の研究
1989 - 1989 群とその応用の研究
1988 - 1988 複素多様体の研究-特に3次元ファノ多様体の大域的変形
1986 - 1986 非ケーラー的複素多様体の研究
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Papers (35)：
A. Ishii, I. Nakamura,. The extended McKay correpidence for quotient surface singularities. The Quaterly Journal of Mathematics. 2019. 70. 2. 395-408
K. Mitsui, I. Nakamura. The direct image sheaf $f_*(O_X). Tokyo Jour. Math. 2016. 39. 1. 777-782
Iku Nakamura. Compactification by GIT stability of the moduli space of abelian varieties. Advanced Studies in Pure Mathematics. 2016. 69. 1. 207-286
