shuji_saito

Publications

  1. [21a]   K. R"ulling and S. Saito, Reciprocity sheaves and their ramification filtrations,
    to appear in J. Inst. Math. Jussieu. (2021)
  2. |PDF|
  3. [21b]   B. Kahn, H. Miyazaki, S. Saito and T. Yamazaki, Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs,
    to appear in Epijournal de Geometrie Algebrique (2021)
  4. |PDF|
  5. [21c]   B. Kahn, H. Miyazaki, S. Saito and T. Yamazaki, Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs,
    to appear in Epijournal de Geometrie Algebrique (2021)
  6. |PDF|
  7. [21d]   B. Kahn, S. Saito and T. Yamazaki, Reciprocity sheaves, II,
    to appear in Homology, Homotopy and Applications (2021)
  8. |PDF|
  9. [21e]   B. Kahn, H. Miyazaki, S. Saito and T. Yamazaki, Motives with modulus, III: The category of motives,
    to appear in Annals of K-theory (2021)
  10. |PDF|
  11. [21f]   F. Binda, A. Krishna and S. Saito, Bloch's formula for 0-cycles with modulus and higher dimensional class field theory,
    to appear in J. of Algebraic Geometry (2021)
  12. |PDF|
  13. [20a]   S. Saito, Purity of reciprocity sheaves,
    Advances in Math. 365 (2020), 107067
  14. |PDF|
  15. [20b]   M. Kerz, S. Saito and G. Tamme, Towards a non-archimedean analytic analog of the Bass-Quillen conjecture,
    J. Inst. Math. Jussieu 19 (2020), no. 6, 1931--1946
  16. |PDF|
  17. [20c]   S. Saito and K. Sato, On p-adic vanishing cycles of log smooth families,
    Tunisian J. Math. 2 (2020), no. 2, 309--335.
  18. [20d]   S. Kelly and S. Saito, Smooth blowup square for motives with modulus,
    to appear in Bulletin of the Polish Academy of Sciences - Mathematics. (2020)
  19. |PDF|
  20. [20e]   V. Cossart, U. Jannsen and S. Saito, Desingularization: Invariants and Strategy: Application to Dimension 2,
    Lecture Notes in Mathematics. 2270 (2020), Springer-Verlag, Berlin
  21. |PDF|
  22. [19a]   M. Kerz, S. Saito and G. Tamme, K-theory of non-archimedean rings I,
    Documenta Math. 24 (2019), 1365--1411
  23. |PDF|
  24. [19b]   F. Binda and S. Saito, Relative cycles with moduli and regulator maps,
    J. Inst. Math. Jussieu. 18 (2019), no 6, 1233--1293
  25. |PDF|
  26. [18a]   K. R"ulling and S. Saito, Higher Chow groups with modulues and relative Milnor K-theory,
    Trans. AMS. 370 (2018), 987--1043
  27. |PDF|
  28. [18b]   U. Jannsen, S. Saito and Y. Zhao, Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields,
    Compositio Math. 154 (2018), 1306--1331
  29. |PDF|
  30. [17]   S. Kelly and S. Saito, Weight homology of motives,
    Internatinal Math. Research Notices. 13 (2017), 3938--3984
  31. |PDF|
  32. [16a]   B. Kahn, S. Saito and T. Yamazaki, Reciprocity sheaves, I,
    Compositio Math. 152 , no. 9 (2016), 1851--1898
  33. |PDF|
  34. [16b]   M. Kerz and S. Saito, Chow group of 0-cycles with modulus and higher dimensional class field theory,
    Duke Math. J. 165 , no. 15 (2016), 2811--2897
  35. |PDF|
  36. [14a]  S. Saito and K. Sato, Zero-cycles on varieties over p-adic fields and Brauer groups,
    Ann. Sci. Ecole Norm. Sup. 47 (2014), 505--537
  37. |PDF|
  38. [14b]   M. Kerz and S. Saito, Lefschetz theorem for abelian fundamental group with modulus,
    Algebra and Number Theory, 8 (2014), 689--702
  39. |PDF|
  40. [14c]  U. Jannsen, S. Saito and K. Sato, Etale duality for constructible sheaves on arithmetic schemes,
    J. Reine Angew. 688 (2014), 1--65
  41. |PDF|
  42. [13]   M. Kerz and S. Saito, Cohomologicla Hasse principle and resolution of quotient singularities,
    New York J. Math. 19 (2013), 597--645
  43. |PDF|
  44. [12a]   M. Kerz and S. Saito, Cohomological Hasse principle and motivic cohomology of arithmetic schemes,
    Publ. Math. IHES 115 (2012), 123--183
  45. |PDF|
  46. [12b]   U. Jannsen and S. Saito, Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class fileld theory,
    J. of Algebraic Geometry 21 (2012), 683--705
  47. |PDF|
  48. [11]   S. Saito, Cohomological Hasse principle and motivic cohomology of arithmetic schemes,
    Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010.
  49. |PDF|
  50. [10a]   S. Saito and K. Sato, A finite theorem for zero-cycles over p-adic fields,
    Annals of Mathematics 172 (2010), 593--639
  51. |PDF|
  52. [10b]   S. Saito and K. Sato, A p-adic regulator map and finiteness results for arithmetic schemes,
    Documenta Math. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010), 525-594
  53. |PDF|
  54. [10c]  S. Saito, Recent progress on the Kato conjecture,
    in: Quadratic forms, linear algebraic groups, and cohomology, Developments in Math. 18 (2010), 109--124
  55. |PDF|
  56. [08a]   M. Asakura and S. Saito, Maximal components of Noether-Lefschetz locus for Beilinson-Hodge cycles,
    Math. Annalen 341 (2008), 169--199
  57. |PDF|
  58. [08b]   M. Asakura and S. Saito, Surfaces over a p-adic field with infinite torsion in the Chow group of 0-cycles,
    Algebra and Number Theory 1 (2008), 163--181
  59. |PDF|
  60. [07a]   J. Lewis and S. Saito, Algebraic cycles and Mumford-Griffiths invariants,
    Amer. J. Math. 129 (2007), 1449-1499
  61. |PDF|
  62. [07b]   M. Asakura and S. Saito, Beilinson's Hodge conjecture with coefficient for open complete intersections, in: Algebraic cycles and Motives Volume 2 (for J. Murre's 75--th Birthday)
    London Math. Society Lecture Note Series 344 (2007), 3--37
  63. |PDF|
  64. [06a]   M. Asakura and S. Saito, Noether-Lefschetz locus for Beilinson-Hodge cycles I,
    Math. Zeit. 252 (2006), 251--237
  65. [06b]   M. Asakura and S. Saito, Generalized Jacobian rings for open complete intersections,
    Math. Nachr. 279 (2006), 251--237
  66. [04]   S. Saito, Beilinson's Hodge and Tate conjectures, in: Transcendental Aspects of Algebraic Cycles,
    London Math. Society Lecture Note Series 313 (2004), 276--289
  67. [03a]   S. M"uller-Stach and S. Saito, On K_1 and K_2 of algebraic surfaces,
    K-Theory 30 (2003), 37--69
  68. [03b]   U. Jannsen and S. Saito, Kato homology of arithmetic schemes and higher class field theory over local fields,
    Documenta Math. Extra Volume: Kazuya Kato's Fiftieth Birthday, (2003), 479--538
  69. [02a]   S. Saito, Higher normal functions and Griffiths groups,
    J. of Algebraic Geometry 11 (2002), 161-201
  70. [02b]   S. Saito, Infinitesimal logarithmic Torelli problem for degenerating hypersurfaces in P^n, in: Algebraic Geometry 2000, Azumino,
    Advanced Studies in Pure Math. 36 (2002), 401--434
  71. [00a]   S. Saito, Motives, Algebraic Cycles and Hodge theory, in: The Arithmetic and Geometry of Algebraic Cycles,
    CRM Proceedings and Lecture Notes 24 (2000), 235--253, American Mathematical Society
  72. [00b]   S. Saito, Motives and Filtrations on Chow groups, II, in: The Arithmetic and Geometry of Algebraic Cycles,
    NATO Science Series 548 (2000), 321--346, Kluwer Academic Publishers
  73. [96a]   S. Saito, Motives and Filtrations on Chow groups,
    Invent. Math. 125 (1996), 149--196
  74. [96b]   A. Langer and S. Saito, Torsion zero-cycles on the self-product of a modular elliptic curve,
    Duke Math. J. 85 (1996), 315--357
  75. [96c]   J.-L. Colliot-Th'el`ene and S. Saito, Z'ero-cycles sur les vari'et'es p-adiques et groupe de Brauer,
    Internatinal Math. Research Notices 4 (1996), 151--160
  76. [95]   S. Saito and R. Sujatha, A finiteness theorem for cohomology of surfaces over p-adic fields and an application to Witt groups,
    Proceedings of Symposia in Pure Math. 58 Part II (1994), 403--416, AMS
  77. [94]   S. Saito, Cohomological Hasse principle for a threefold over a finite field, in: Algebraic K-theory and Algebraic Topology,
    NATO ASI Series, 407 (1994), 229--241, Kluwer Academic Publishers
  78. [93]   S. Saito, A global duality theorem for varieties over global fields, in: Algebraic K-theory: Connections with Geometry and Topology,
    NATO ASI Series, 279 (1993), 425--444, Kluwer Academic Publishers
  79. [91a]   S. Saito, Torsion zero-cycles and etale homology of singular schemes,
    Duke Math. J. 64 (1991), 71-83
  80. [91b]   S. Saito, On the cycle map for torsion algebraic cycles of codimension two,
    Invent. Math. 106 (1991), 443--460
  81. [89a]   S. Saito, Arithmetic theory on an arithmetic surface,
    Ann. of Math. 129 (1989), 547--589
  82. [89b]   S. Saito, Some observations on motivic cohomologies of arithmetic schemes,
    Invent. Math. 98 (1989), 371--414
  83. [87a]   K. Kato, S. Saito and T. Saito, General fixed point formula for an algebraic surface
    and the theory of Swan representations for two-dimensional local rings,

    Amer. J. Math. 109 (1987), 1009--1042
  84. [87b]   K. Kato, S. Saito and T. Saito, Artin Characters for algebraic surfaces,
    Amer. J. Math. 109 (1987), 49--76
  85. [87c]   S. Saito, Class field theory for two dimensional local rings, in: Galois Representations and Arithmetic Geometry,
    Advanced Studies in Pure Math. 12 (1987), 343-373
  86. [86a]   S. Saito, Arithmetic on two dimensional local rings,
    Invent. Math. 85 (1986), 379--414
  87. [86b]   K. Kato and S. Saito, Global class field theory of arithmetic schemes,
    Contemporary Math. 55 (1986), 255--331
  88. [85a]   S. Saito, Unramified class field theory of arithmetical schemes,
    Ann. of Math. 121 (1985), 251--281
  89. [85b]   S. Saito, Class field theory for curves over local fields,
    Journal Number Theory 21 (1985), 44--80
  90. [85c]   K. Kato and S. Saito, Unramified class field theory of arithmetical surfaces,
    Ann. of Math. 118 (1985), 241--275
  91. [84]   S. Saito, Functional equations of L-functions of varieties over finite fields,
    J. Fac. Sci. Univ. of Tokyo, Sec. IA 31 (1984), 287--296
  92. [83]   K. Kato and S. Saito, Two dimensional class field theory, in: Galois groups and Their Representations,
    Advanced Studies in Pure Math. 2 (1983), 103--152