Morihiko Saito
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Japanese mathematician
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Morihiko Saitomathematics Degrees
Mathematics
#1348
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#2246
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Differential Geometry
#59
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#70
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Geometry
#64
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#112
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Algebra
#83
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#138
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Mathematics
Morihiko Saito's Degrees
- PhD Mathematics University of Tokyo
- Masters Mathematics University of Tokyo
- Bachelors Mathematics University of Tokyo
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(Suggest an Edit or Addition)According to Wikipedia, Morihiko Saitō is a Japanese mathematician, specializing in algebraic analysis and algebraic geometry. Education and career After graduating from Aiko High School in Matsuyama, Saito completed undergraduate study in mathematics at the University of Tokyo and in 1979 completed the master's program there. In 1986 he received his D.Sc. from Kyoto University. After working as a research assistant at Kyoto University's Research Institute for Mathematical Sciences, he was appointed there an associate professor.
Morihiko Saito's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Mixed Hodge modules (1990) (724)
- Modules de Hodge Polarisables (1988) (615)
- On the structure of Brieskorn lattice (1989) (182)
- Introduction to mixed Hodge modules (1987) (99)
- Onb-function, spectrum and rational singularity (1993) (96)
- Multiplier ideals, V-filtration, and spectrum (2003) (93)
- Bernstein–Sato polynomials of arbitrary varieties (2004) (88)
- Mixed Hodge complexes on algebraic varieties (1999) (85)
- Exponents and Newton polyhedra of isolated hypersurface singularities (1988) (84)
- Decomposition theorem for proper Kähler morphisms (1990) (83)
- On microlocal b-function (1994) (79)
- Jumping coefficients and spectrum of a hyperplane arrangement (2009) (65)
- Duality for vanishing cycle functors (1990) (53)
- On Steenbrink's conjecture (1991) (50)
- Symmetric products of mixed Hodge modules (2010) (48)
- Multiplier ideals, $b$-function, and spectrum of a hypersurface singularity (2004) (48)
- On the structure of Brieskorn lattices, II (2013) (44)
- On the Hodge Filtration of Hodge Modules (2005) (43)
- Some Remarks on the Semipositivity Theorems (2014) (42)
- Bernstein–Sato polynomials of hyperplane arrangements (2006) (42)
- Deligne's conjecture on 1-motives (2001) (37)
- Some consequences of perversity of vanishing cycles (2003) (37)
- Induced ${\mathcal {D}}$-modules and differential complexes (1989) (36)
- Period mapping via Brieskorn modules (1991) (36)
- Mixed Hodge Modules and Applications (1990) (36)
- First Milnor cohomology of hyperplane arrangements (2009) (34)
- Mixed Hodge structures on the intersection cohomology of links (1990) (33)
- A generalization of Griffiths's theorem on rational integrals (2005) (32)
- Hirzebruch–Milnor classes of complete intersections (2012) (32)
- Extension of mixed Hodge modules (1990) (28)
- Multiplier ideals, V-filtrations and transversal sections (2006) (28)
- Algebraic Gauss-Manin systems and Brieskorn modules (1999) (27)
- Exponents of an irreducible plane curve singularity (2000) (27)
- Hodge ideals and microlocal V-filtration (2016) (27)
- A young person's guide to mixed Hodge modules (2016) (27)
- Brieskorn modules and Gauss–Manin systems for non‐isolated hypersurface singularities (2004) (27)
- Gauss-Manin system and mixed Hodge structure (1982) (27)
- Arithmetic mixed sheaves (1999) (27)
- Koszul complexes and spectra of projective hypersurfaces with isolated singularities (2012) (26)
- Hodge ideals and spectrum of isolated hypersurface singularities (2019) (26)
- Some remarks on limit mixed Hodge structures and spectrum (2012) (25)
- Generalization of theorems of Griffiths and Steenbrink to hypersurfaces with ordinary double points (2014) (24)
- Thom-Sebastiani theorems for filtered D-modules and for multiplier ideals (2016) (23)
- Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach (2005) (22)
- Hodge filtrations on Gauss-Manin systems I (1984) (22)
- A generalization of Griffiths' theorem on rational integrals, II (2007) (22)
- ON THE FORMALISM OF MIXED SHEAVES (2008) (21)
- D -modules on analytic spaces (1991) (21)
- On the cohomology of a general fiber of a polynomial map (1993) (20)
- Relative Chow–Künneth Decompositions for Conic Bundles and Prym Varieties (2008) (20)
- Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for Monomial Ideals (2005) (20)
- Graded Koszul cohomology and spectrum of certain homogeneous polynomials (2013) (19)
- Hodge conjecture and mixed motives II (1991) (18)
- Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings (2018) (17)
- Monodromy at Infinity and the Weights of Cohomology (2000) (17)
- On real log canonical thresholds (2007) (17)
- Hausdorff property of the Neron models of Green, Griffiths and Kerr (2008) (17)
- On the local zeta functions and the b‐functions of certain hyperplane arrangements (2010) (16)
- Chow-Kunneth decomposition for varieties with low cohomological level (2006) (15)
- A generalization of the Neron models of Green, Griffiths and Kerr (2008) (15)
- Hodge theory of degenerations, (I): consequences of the decomposition theorem (2019) (14)
- Spectral Hirzebruch–Milnor classes of singular hypersurfaces (2016) (14)
- Fields of definition of Hodge loci (2014) (14)
- Cycle map for strictly decomposable cycles (2001) (14)
- The kernel spectral sequence of vanishing cycles (1990) (13)
- VANISHING CYCLE SHEAVES OF ONE-PARAMETER SMOOTHINGS AND QUASI-SEMISTABLE DEGENERATIONS (2008) (13)
- Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems (2012) (12)
- Monodromy of a family of hypersurfaces containing a given subvariety (2004) (12)
- Higher Du Bois singularities of hypersurfaces (2021) (12)
- Dwork Cohomology and Algebraic D-Modules (1999) (11)
- Direct image of logarithmic complexes and infinitesimal invariants of cycles (2005) (11)
- Roots of Bernstein–Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci (2017) (11)
- Bernstein-Sato polynomials for projective hypersurfaces with weighted homogeneous isolated singularities (2016) (11)
- Monodromy Filtration and Positivity (2000) (10)
- Lowest weights in cohomology of variations of Hodge structure (2007) (9)
- $D$-Modules Generated by Rational Powers of Holomorphic Functions (2015) (9)
- Spectrum and multiplier ideals of arbitrary subvarieties (2007) (9)
- Hilbert series of graded Milnor algebras and roots of Bernstein-Sato polynomials (2015) (9)
- Relative Chow–Künneth decompositions for morphisms of threefolds (2009) (9)
- Some remarks on the semi-positivity theorems (2013) (9)
- Graded duality of Koszul complexes associated with certain homogeneous polynomials (2012) (9)
- Bloch's Conjecture and Chow Motives (2000) (8)
- Hirzebruch–Milnor Classes and Steenbrink Spectra of Certain Projective Hypersurfaces (2013) (7)
- On b-function, spectrum and multiplier ideals (2007) (7)
- Deformation of rational singularities and Hodge structure (2019) (7)
- Hodge-type conjecture for higher Chow groups (2002) (7)
- On the formalisme of mixed sheaves (2006) (7)
- On the derived categories of mixed Hodge modules (1986) (7)
- Dwork cohomology and algebraic ${\Cal D}$-modules (2000) (7)
- Hodge filtrations on Gauss-Manin systems, II (1983) (7)
- A variant of Néron models over curves (2009) (6)
- Weight zero part of the first cohomology of complex algebraic varieties (2018) (6)
- Bloch's Conjecture, Deligne Cohomology and Higher Chow Groups (1999) (6)
- Multiplier Ideals, b-function, and spectrum (2004) (6)
- On the injectivity of cycle maps (1992) (6)
- Introduction to a theory of b-functions (2006) (6)
- Roots of Bernstein-Sato polynomials for projective hypersurfaces with general hyperplane sections having weighted homogeneous isolated singularities (2017) (6)
- Weight filtration on the cohomology of algebraic varieties (2006) (5)
- Number of Jordan blocks of the maximal size for local monodromies (2012) (5)
- Normal functions and spread of zero locus (2013) (5)
- Descent of nearby cycle formula for Newton non-degenerate functions (2020) (5)
- Some remarks on decomposition theorem for proper K\"ahler morphisms (2022) (4)
- Spectrum of non-degenerate functions with simplicial Newton polyhedra (2019) (4)
- Filtrations on Chow Groups and Transcendence Degree (2002) (4)
- Roots of Bernstein-Sato polynomials of homogeneous polynomials with 1-dimensional singular loci (2017) (4)
- Hausdorff property of the Zucker extension at the monodromy invariant subspace (2008) (4)
- Refined Cycle Maps (2001) (4)
- Bernstein-Sato polynomials and graded Milnor algebras for projective hypersurfaces with weighted homogeneous isolated singularities (2016) (3)
- Generalized Thomas hyperplane sections and relations between vanishing cycles (2008) (3)
- Arithmetic Mixed Hodge Structures (1999) (3)
- Some Remarks on Local Cohomological Dimension and Rectified Q-Homological Depth of Complex Algebraic Varieties (2021) (2)
- Cohomology classes of admissible normal functions (2009) (2)
- Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials (2021) (2)
- Nonvanishing of external products for higher Chow groups (2001) (2)
- Bernstein–Sato polynomials of hyperplane arrangements (2016) (2)
- Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials (2011) (2)
- On the definition of mixed Hodge modules (2013) (2)
- Smoothing of rational singularities and Hodge structure (2019) (2)
- Degeneration of pole order spectral sequences for hyperplane arrangements of 4 variables (2019) (2)
- Hirzebruch-Milnor classes of hypersurfaces with nontrivial normal bundles and applications to higher du Bois and rational singularities (2023) (1)
- Examples of Hirzebruch-Milnor classes of projective hypersurfaces detecting higher du Bois or rational singularities (2023) (1)
- Vanishing cycle sheaves of one-parameter smoothings (2008) (1)
- Deformations of abstract Brieskorn lattices (2017) (1)
- Hodge structure via filtered D-modules (2019) (1)
- Twistor deformation of rank one local systems (2013) (1)
- Filtered Perverse Complexes (1996) (1)
- Length of D in the Isolated Singularity Case (2022) (1)
- Local Cohomological Dimension and Rectified Q-Homological Depth of Complex Analytic spaces (2022) (1)
- Intersection complexes of toric varieties and mixed Hodge modules (2020) (1)
- Notes on regular holonomic $D$-modules for algebraic geometers (2022) (1)
- Lowest non-zero vanishing cohomology of holomorphic functions. (2020) (1)
- ^-Modules on Analytic Spaces (2005) (1)
- Graded duality for filtered D-modules (2014) (1)
- A ug 2 00 3 SOME CONSEQUENCES OF PERVERSITY OF VANISHING CYCLES (2003) (0)
- A G ] 2 7 O ct 2 00 8 Vanishing cycle sheaves of one-parameter smoothings (2008) (0)
- Bernstein-Sato Polynomials of Semi-weighted-homogeneous Polynomials of Brieskorn-Pham Type (2022) (0)
- Ju l 2 00 7 ON REAL LOG CANONICAL THRESHOLDS (0)
- a more natural generalization from the view point of mixed Hodge theory (2009) (0)
- Rank one local systems on complements of hyperplanes and Aomoto complexes (2018) (0)
- Generalization of Neron models of Green, Griffiths and Kerr : Joint work with P. Brosnan and G. Pearlstein : Dedicated to Professor Sampei Usui (Hodge theory and algebraic geometry) (2011) (0)
- Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials (2012) (0)
- Verdier specialization and restrictions of Hodge modules (2023) (0)
- Topological calculation of local cohomological dimension (2021) (0)
- On the b-Function of Nonisolated Hypersurface Singularities(Algebraic Analysis and Theory) (2018) (0)
- Twisted logarithmic complexes of positively weighted homogeneous divisors (2022) (0)
- Title Some Remarks on the Semipositivity Theorems (2014) (0)
- Local and global invariant cycle theorems for Hodge modules (2022) (0)
- Mathematische Annalen Dwork cohomology and algebraic D-modules (2000) (0)
- A G ] 2 1 M ay 2 00 1 DELIGNE ’ S CONJECTURE ON 1-MOTIVES (0)
- INTRODUCTION TO A THEORY OF $b$-FUNCTIONS(Arc Spaces and Multiplier Ideals) (2007) (0)
- Topological computation of the first Milnor fiber cohomology of hyperplane arrangements (2021) (0)
- Bernstein-Sato polynomials of semi-weighted-homogeneous polynomials of nearly Brieskorn-Pham type (2022) (0)
- On the b-Function of Nonisolated Hypersurface Singularities(Algebraic Analysis and Number Theory) (1992) (0)
- A G ] 3 D ec 2 01 0 Relative Chow-Künneth decompositions for morphisms of threefolds Dedicated to Professor Jacob Murre (2010) (0)
- Cohomology and intersection cohomology of algebraic varieties (2006) (0)
- A pr 2 00 1 CYCLE MAP FOR STRICTLY DECOMPOSABLE CYCLES (2001) (0)
- Generalized Thomas hyperplane sections for primitive Hodge classes (2008) (0)
- Multiplier ideals of stratified locally conical divisors (2004) (0)
- Generalizations using mixed Hodge modules (2016) (0)
- Efficiency and complexity of hyperplane arrangements (2021) (0)
- A G ] 2 3 Se p 20 09 A variant of Néron models over curves (2009) (0)
- one elements in ladic completion of F (2008) (0)
- Ambiguity of certain Chow-Kuenneth projectors (2013) (0)
- On Mildenhall's Theorem (2001) (0)
- Thom-Sebastiani theorem for multiplier ideals (2016) (0)
- Length of $D_Xf^{-\alpha}$ in the isolated singularity case (2022) (0)
- Mixed Hodge modules and mixed twistor modules (2015) (0)
- Thomas hyperplane sections for primitive Hodge classes (2008) (0)
- A G ] 6 S ep 2 02 2 Length of D X f − α in the Isolated Singularity Case (2022) (0)
- Moduli spaces of rank one local systems and topologically trivial line bundles (2013) (0)
- Tate conjecture and mixed perverse sheaves (2006) (0)
- Contents of Volume 138 (2003) (2003) (0)
- Spectral Hirzebruch–Milnor classes of singular hypersurfaces (2018) (0)
- Hodge theory of degenerations, (I): consequences of the decomposition theorem (2021) (0)
- Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings (2021) (0)
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