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Most Influential Person

Mathematician in Japan

According to Wikipedia, Shihoko Ishii is a Japanese mathematician and professor at the University of Tokyo. Her research area is algebraic geometry. Education Ishii received her bachelor's degree from Tokyo Women's Christian University in 1973 and her master's degree from Waseda University in 1975. She earned her PhD from Tokyo Metropolitan University in 1983.

- The Nash problem on arc families of singularities (2002) (98)
- On isolated gorenstein singularities (1985) (57)
- The arc space of a toric variety (2003) (54)
- Divisorial Valuations via Arcs (2007) (46)
- Arcs, valuations and the Nash map (2004) (41)
- Quasi-Gorenstein Fano 3-folds with isolated non-rational loci (1991) (31)
- Introduction to Singularities (2014) (28)
- JET SCHEMES, ARC SPACES AND THE NASH PROBLEM (2007) (27)
- The Local Nash problem on arc families of singularities (2005) (25)
- Deformations of Singularities (2014) (24)
- Hypersurface exceptional singularities (1999) (23)
- Mather discrepancy and the arc spaces (2011) (22)
- Maximal divisorial sets in arc spaces (2006) (19)
- Isolated $Q$-Gorenstein Singularities of Dimension Three (1987) (18)
- A geometric characterization of a simple $K3$-singularity (1992) (18)
- Singularities with respect to Mather-Jacobian discrepancies (2013) (17)
- The quotients of log-canonical singularities by finite groups (2000) (15)
- The asymptotic behavior of plurigenera for a normal isolated singularity (1990) (14)
- Geometric Properties of Jet Schemes (2010) (13)
- Small deformation of normal singularities (1987) (13)
- Du Bois Singularities on a Normal Surface (1987) (13)
- Multiplier ideals via Mather discrepancy (2011) (12)
- Singularities with the highest Mather minimal log discrepancy (2013) (12)
- On fano 3-folds with non-rational singularities and two-dimensional base (1994) (12)
- Small deformations of normal singularities (1986) (11)
- The canonical modifications by weighted blow-ups (1996) (11)
- Singularities in arbitrary characteristic via jet schemes (2015) (11)
- Moduli Space of Polarized del Pezzo Surfaces and its Compactification (1982) (10)
- Smoothness and jet schemes (2008) (10)
- The minimal model theorem for divisors of toric varieties (1999) (10)
- A characterization of hyperplane cuts of smooth complete intersections (1982) (9)
- Simultaneous Canonical Models of Deformations of Isolated Singularities (1991) (6)
- Extremal Functions and Prime Blow-ups (2004) (6)
- Finite determination conjecture for Mather–Jacobian minimal log discrepancies and its applications (2017) (5)
- Hypersurface non-rational singularities which look canonical from their Newton boundaries (2001) (5)
- Some projective contraction theorems (1977) (4)
- The geometric minimal models of analytic spaces (2001) (4)
- Chow instability of certain projective varieties (1983) (4)
- Moduli of subrings of a local ring (1980) (4)
- Isomorphisms of jet schemes (2009) (3)
- Jet schemes of homogeneous hypersurfaces (2011) (3)
- A supplement to Fujino's paper: On isolated log canonical singularities with index one (2012) (3)
- The minimal log discrepancies on a smooth surface in positive characteristic (2019) (3)
- Inversion of modulo p reduction and a partial descent from characteristic 0 to positive characteristic (2018) (2)
- The invariant -k2 and continued fractions for 2- dimensional cyclic quotient singularities (2002) (2)
- The global indices of log Calabi-Yau varieties --A supplement to Fujino's paper: The indices of log canonical singularities-- (2000) (2)
- A RESOLUTION OF SINGULARITIES OF A TORIC VARIETY AND A NON-DEGENERATE HYPERSURFACE (2007) (2)
- ON -K2 FOR NORMAL SURFACE SINGULARITIES (1998) (2)
- Jet closures and the local isomorphism problem (2017) (2)
- A strongly geometric general residual intersection (2016) (1)
- Small Deformation of Normal Singularities (Erratum). (1987) (1)
- Normal Two-dimensional Singularities (2014) (1)
- ON TORIC IMAGE DIVISORS (2001) (1)
- On -K2 for normal surface singularities II. (2000) (1)
- Singularities : Niigata-Toyama 2007 (2009) (1)
- On Pluri-Genera and mixed Hodge structures of isolated singularities (1983) (1)
- Workshop: Singularities and related topics (2019) (0)
- Hypersurface non-rational singularities which look like canonical from its Newton boundary(Singularities and Complex Analytic Geometry) (1998) (0)
- O ct 2 00 4 ARCS , VALUATIONS AND THE NASH MAP (2004) (0)
- A FANO 3-FOLD WITH NON-RATIONAL SINGULARITIES AND A TWO DIMENSIONAL BASIS (1994) (0)
- A bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds (2021) (0)
- Sheaves, Algebraic Varieties and Analytic Spaces (2014) (0)
- A boundedness of divisors computing minimal log discrepancies for monomial ideals in positive characteristic (2018) (0)
- Differential Forms Around a Singularity (2014) (0)
- Nash problem for a toric pair and the minimal log-discrepancy (2010) (0)
- Corrigendum to “Mather discrepancy and the arc spaces”@@@Corrigendum de “Discrépance de Mather et les espaces d’arcs” (2017) (0)
- Quick Overview of Recent Developments on Singularities (2018) (0)
- THE INDEX OF A LOG-CANONICAL SINGULARITY (Singularity Theory and its Applications) (2000) (0)
- Global Moduli of Equisingular Complete Curves (1982) (0)
- Higher-Dimensional Singularities (2014) (0)
- Definition of a Singularity, Resolutions of Singularities (2014) (0)
- A Fano 3-fold with the 1-dimensional locus of non-rational singularities(Analytic varieties and singularities) (1992) (0)
- Minimal model theorem for toric divisors (1997) (0)
- Introduction to Jet Schemes and Arc Spaces(Arc Spaces and Multiplier Ideals) (2007) (0)
- Introduction to Jet Schemes and Arc Spaces (2006) (0)
- R. ハーツホーン（高橋宣能・松下大介 訳）：代数幾何学，1，2，3，シュプリンガー・フェアラーク東京，1 2004年，345ページ；2 2005年，167ページ；3 2005年，295ページ． (2007) (0)
- A description of divisors by arcs and its applications (2019) (0)
- A fano 3-fold with nonrational singularities and a two-dimensional basis (1996) (0)
- Hodge Theory and Algebraic Geometry (2020) (0)
- Divisors and Sheaves on a Variety (2014) (0)
- Ja n 20 18 A strongly geometric general residual intersection (2018) (0)
- Homological Algebra and Duality (2014) (0)
- AN INTRODUCTION TO ARC SPACES (New methods and subjects in singularity theory) (2004) (0)

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