Kazuya Kato

发表

On some types of topological groups: Ann. of Math., (2) 50 (1949), 507–558

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Number Theory 1

Kazuya Kato, N. Kurokawa, Takeshi Saito, 1999 .

Class field theory and algebraic K-theory

Kazuya Kato, 1983 .

On $p$-Adic Vanishing Cycles (Application of ideas of Fontaine-Messing)

Kazuya Kato, 1987 .

Syntomic cohomology and p-adic étale cohomology

Kazuya Kato, William Messing, 1992 .

Log intermediate Jacobians

Kazuya Kato, Chikara Nakayama, S. Usui, 2009, 0906.3376.

Analytic Log Picard Varieties

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2008, Nagoya Mathematical Journal.

Some properties of (L)-groups

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

On solvable extensions of algebraic number fields: Ann. of Math., (2) 58 (1953), 548–572

I. Satake, Genjiro Fujisaki, Kazuya Kato, 1953 .

Topological groups with invariant compact neighborhoods of the identity: Ann. of Math., (2) 54 (1951), 345–348

I. Satake, Genjiro Fujisaki, Kazuya Kato, 1951 .

Logarithmic abelian varieties, Part VII: Moduli

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2020, 2009.08178.

A G ] 1 7 Se p 20 20 Logarithmic abelian varieties , Part VII : Moduli

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2020 .

GENERALIZED EXPLICIT RECIPROCITY LAWS

Kazuya Kato, 2016 .

Logarithmic abelian varieties, III: Logarithmic elliptic curves and modular curves

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2013, Nagoya Mathematical Journal.

Logarithmic Abelian Varieties

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2008, Nagoya Mathematical Journal.

A G ] 1 8 A ug 2 01 5 Extended period domains and algebraic groups

Kazuya Kato, Chikara Nakayama, S. Usui, 2018 .

Extended period domains, algebraic groups, and higher Albanese manifolds

Kazuya Kato, Chikara Nakayama, S. Usui, 2016, 1611.03179.

Extended period domains and algebraic groups

Kazuya Kato, Chikara Nakayama, S. Usui, 2015, 1508.04318.

Ramification theory for varieties over a perfect field

Kazuya Kato, Takeshi Saito, 2004, math/0402010.

Vanishing cycles, ramification of valuations, and class field theory

Kazuya Kato, 1987 .

Generic Torelli theorem for quintic-mirror familyDedicated to Professor Phillip A. Griffiths on his seventieth birthday

M. Kashiwara, Kazuya Kato, By Sampei Usui, 2008 .

Néron models in log mixed Hodge theory by weak fans

Kazuya Kato, Chikara Nakayama, S. Usui, 2010 .

Analyticity of the closures of some Hodge theoretic subspaces

Kazuya Kato, Chikara Nakayama, S. Usui, 2011, 1102.3528.

Quasi-unipotent logarithmic Riemann-Hilbert correspondences

Kazuya Kato, L. Illusie, Chikara Nakayama, 2005 .

Some problems on cyclotomic fields and ℤ p -extensions

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Some remarks on Hecke characters

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

A note on Jacobi sums: “Convegno di Strutture in Corpi Algebrici” (Rome, 1973), INDAM, Symposia Mathematica, Vol. XV, Academic Press, London, 1975, pp. 447–459

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Peptide foldamers composed of six-membered ring α,α-disubstituted α-amino acids with two changeable chiral acetal moieties

Kazuya Kato, M. Oba, Masakazu Tanaka, 2015 .

Log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over C

Kazuya Kato, Chikara Nakayama, 1999 .

Height functions for motives, II

Kazuya Kato, 2018, 1803.04589.

$p$-Adic period domains and toroidal partial compactifications, I

Kazuya Kato, 2011 .

On the representation of Lie algebras: Japanese J. Math., 19 (1948), 405–426

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Toric Singularities

Kazuya Kato, 2008 .

Symmetric bilinear forms, quadratic forms and MilnorK-theory in characteristic two

Kazuya Kato, 1982 .

Galois cohomology of complete discrete valuation fields

Kazuya Kato, 1982 .

Existence theorem for higher local fields

Kazuya Kato, 2000 .

The explicit reciprocity law and the cohomology of Fontaine-Messing

Kazuya Kato, 1991 .

The dimension of fields and algebraic K-theory

Kazuya Kato, T. Kuzumaki, 1986 .

A Hasse principle for two dimensional global fields.

Kazuya Kato, 1986 .

A generalization of local class field theory by using $K$-groups, II

Kazuya Kato, 1977 .

Duality theories for p-primary etale cohomology III

Kazuya Kato, Takashi Suzuki, 2018, 1810.02218.

Unramified class field theory of arithmetical surfaces

Kazuya Kato, S. Saito, 1983 .

Residue Homomorphisms in Milnor $K$-theory

Kazuya Kato, 1983 .

Generalized Class Field Theory

Kazuya Kato, 1990 .

REFINED SWAN CONDUCTORS $\text{mod}~p$ OF ONE-DIMENSIONAL GALOIS REPRESENTATIONS

Kazuya Kato, Takeshi Saito, I. Leal, 2018, Nagoya Mathematical Journal.

Modulus of a rational map into a commutative algebraic group

Kazuya Kato, H. Russell, 2010, 1003.3289.

Two Dimensional Class Field Theory

Kazuya Kato, S. Saito, 1983 .

Global class field theory of arithmetic schemes

Sadao Saito, Kazuya Kato, Kazuya Kato, 1986 .

L-Functions and Tamagawa Numbers of Motives

Kazuya Kato, Kazuya Kato, Spencer Bloch, 2007 .

Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions via B dR . Part I

Kazuya Kato, 1993 .

CLASS FIELD THEORY, T-MODULES, AND RAMIFICATION ON HIGHER DIMENSIONAL SCHEMES, PART I

Kazuya Kato, 1994 .

Invitation to higher local fields, Interlude: Existence theorem for higher local class field theory

Kazuya Kato, 2000, math/0012150.

Equivariant Weierstrass Preparation and Values of L-functions at Negative Integers

Kazuya Kato, C. Greither, D. Burns, 2003 .

Completely Faithful Selmer Groups over Kummer Extensions

Kazuya Kato, Kazuya Kato, O. Venjakob, 2003 .

On log motives

Kazuya Kato, Chikara Nakayama, S. Usui, 2017, Tunisian Journal of Mathematics.

On the conductor formula of Bloch

Kazuya Kato, Takeshi Saito, 2004 .

On conjectures of Sharifi

Kazuya Kato, Fukaya Takako, 2011 .

Iwasawa theory and generalizations

Kazuya Kato, 2006 .

On Г-extensions of algebraic number fields: Bull. Amer. Math. Soc., 65 (1959), 183–226

Kazuya Kato, Masato Kurihara, I. Satake, 2001 .

Attempts on SGA for non-commutative rings

Kazuya Kato, 2019, 1903.05782.

Root numbers, Selmer groups, and non-commutative Iwasawa theory

John Coates, Kazuya Kato, R. Sujatha, 2010 .

Universal Norms of p-Units in Some Non-Commutative Galois Extensions

Kazuya Kato, 2006 .

On cohomology groups of units for Z p -extensions: Amer. J. Math., 105 (1983), 189–200; “Geometry and Number Theory, A Volume in Honor of André Weil” (J.-P. Serre and G. Shimura eds.), The Johns Hopkins University Press, 1983, pp. 189–200

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Height functions for motives

Kazuya Kato, 2017, 1701.07082.

Classifying spaces of degenerating mixed Hodge structures, IV: The fundamental diagram

Kazuya Kato, Chikara Nakayama, S. Usui, 2016, Kyoto Journal of Mathematics.

Height functions for motives

Kazuya Kato, 2017, Selecta Mathematica.

Heights of mixed motives

Kazuya Kato, 2013, 1306.5693.

Iwasawa theory and p -adic Hodge theory

Kazuya Kato, 1993 .

On the μ-invariants of Zℓ-extensions: “Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Yasuo Akizuki”, Kinokuniya, Tokyo, 1973, pp. 1–11

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

On the conjectures of Birch and Swinnerton-Dyer in characteristic p>0

Kazuya Kato, Kazuya Kato, Fabien Trihan, 2003 .

Syntomic complexes of F-crystals and Tamagawa number conjecture in characteristic p, with Appendix by Arthur Ogus

Kazuya Kato, 2019, 1909.13181.

Logarithmic Structures of Fontaine-Illusie. II ---Logarithmic Flat Topology

Kazuya Kato, 2019, Tokyo Journal of Mathematics.

Ramification theory for varieties over a local field

Kazuya Kato, Takeshi Saito, 2010, 1007.0310.

ARTIN CHARACTERS FOR ALGEBRAIC SURFACES

Kazuya Kato, Takeshi Saito, S. Saito, 1988 .

Coincidence of two Swan conductors of abelian characters

Kazuya Kato, Takeshi Saito, 2019, Épijournal de Géométrie Algébrique.

Albanese varieties with modulus and Hodge theory

Kazuya Kato, H. Russell, 2009, 0906.0047.

THE EXPLICIT RECIPROCITY LAW AND THE

Kazuya Kato, 1991 .

Automorphisms of Galois groups over number fields

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Number Theory 2: Introduction to Class Field Theory

Nobushige Kurokawa, Kazuya Kato, Kazuya Kato, 2011 .

Toroidal compactifications of the moduli spaces of Drinfeld modules, I.

Kazuya Kato, T. Fukaya, R. Sharifi, 2020, 2008.13376.

Moduli of logarithmic abelian varieties with PEL structure

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2022, 2205.10985.

Logarithmic abelian varieties, Part IV: Proper models

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2015, Nagoya Mathematical Journal.

Classifying Spaces of Degenerating Polarized Hodge Structures.

Kazuya Kato, S. Usui, 2008 .

Tamagawa number conjecture for zeta values

Kazuya Kato, 2003, math/0304233.

Compactifications of S-arithmetic quotients for the projective general linear group

Kazuya Kato, T. Fukaya, R. Sharifi, 2015, 1510.00872.

Borel-Serre Spaces and Spaces of SL(2)-Orbits

Kazuya Kato, S. Usui, 2002 .

Riemann-Hurwitz formula and p-adic Galois representations for number fields: Tôhoku Math. J., (2) 33 (1981), 263–288

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Log $C^{\infty}$-Functions and Degenerations of Hodge Structures

Kazuya Kato, T. Matsubara, Chikara Nakayama, 2002 .

Classifying spaces of degenerating mixed Hodge structures, II: Spaces of $\operatorname{SL}(2)$-orbits

Kazuya Kato, Chikara Nakayama, S. Usui, 2010, 1011.4347.

A note on the group of units of an algebraic number field: J. Math. Pure and Appl., (9) 35 (1956), 189–192

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Euler systems, Iwasawa theory, and Selmer groups

Kazuya Kato, 1999 .

Toroidal compactifications and Borel--Serre compactifications

Sampei Usui, Kazuya Kato, Chikara Nakayama, 2021, 2107.10999.

Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits

Kazuya Kato, Chikara Nakayama, S. Usui, 2010, 1011.4353.

Moduli of log mixed Hodge structures

Kazuya Kato, Chikara Nakayama, S. Usui, 2009, 0910.4454.

Classifying spaces of degenerating mixed Hodge structures, I: Borel–Serre spaces

Kazuya Kato, Chikara Nakayama, S. Usui, 2009 .

Sheaves for algebraic number fields: Ann. of Math., (2) 69 (1959), 408–413

I. Satake, Genjiro Fujisaki, Kazuya Kato, 1959 .

(2)-orbit theorem for degeneration of mixed Hodge structure

Kazuya Kato, Chikara Nakayama, S. Usui, 2008 .

Logarithmic Hodge structures and classifying spaces

Kazuya Kato, S. Usui, 2000 .

Neron models for admissible normal functions

Kazuya Kato, Chikara Nakayama, S. Usui, 2014 .

On SL(2)-orbit theorems

Kazuya Kato, 2013, 1308.0715.

Logarithmic Abelian Varieties, Part I: Complex Analytic Theory

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2008 .

LOGARITHMIC ABELIAN VARIETIES , PART V : PROJECTIVE MODELS By

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2019 .

On p-adic representations associated with ℤ p -extensions

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .

Classifying spaces of degenerating mixed Hodge structures, VI: Log real analytic functions and log $C^{\infty}$ functions

Kazuya Kato, Chikara Nakayama, S. Usui, 2023, 2304.11303.

Mixed objects are embedded into log pure objects

Kazuya Kato, Chikara Nakayama, S. Usui, 2022, 2212.10970.

Classifying spaces of degenerating mixed Hodge structures, V: Extended period domains and algebraic groups

Sampei Usui, Kazuya Kato, Chikara Nakayama, 2021, 2107.03561.

Logarithmic abelian varieties, Part IV: Proper models

Kazuya Kato, Chikara Nakayama, Takeshi Kajiwara, 2015, Nagoya Mathematical Journal.

(with C. C. Sims) Computation of invariants in the theory of cyclotomic fields: J. Math. Soc. Japan, 18 (1966), 86–96

I. Satake, Genjiro Fujisaki, Kazuya Kato, 2001 .