List of English publications


Articles

mathscinet, Comments (11/12/26)
  1. Ramification and cleanliness (with Ahmed Abbes),
    Tohoku Mathematical Journal, Centennial Issue, 63 No. 4 (2011), 775-853. arXiv:1007.3873
  2. Ramification of local fields with imperfect residue fields III,
    Mathematische Annalen, 352, Issue 3 (2012), 567-580.
  3. Local Fourier transform and epsilon factors (with Ahmed Abbes)
    Compositio Mathematica, 146-6, (2010) 1507-1551.
  4. Hilbert modular forms and p-adic Hodge theory,
    Compositio Mathematica, 145-5, (2009) 1081-1113.
  5. Wild ramification and the characteristic cycle of an l-adic sheaf,
    Journal de l'Institut de Mathematiques de Jussieu, (2009) 8(4), 769-829 corrections(18/06/11)
  6. Analyse micro-locale l-adique en caractéristique p>0: Le cas d'un trait (with Ahmed Abbes)
    Publication of the Research Institute for Mathematical Sciences 45-1 (2009) 25-74
  7. Ramification theory for varieties over a perfect field (with Kazuya Kato)
    Annals of Mathematics, 168 (2008), 33-96.
  8. The characteristic class and ramification of an l-adic étale sheaf (with Ahmed Abbes)
    Inventiones Mathematicae 168 No. 3 (2007) 567-612
  9. On the conductor formula of Bloch (with Kazuya KATO). corrections
    Publications Mathematiques, IHES 100, (2004), 5-151.
  10. Parity in Bloch's conductor formula.
    Journal de Th\'eorie des Nombres de Bordeaux, 16-2 (2004), 403-421.
  11. Log smooth extension of family of curves and semi-stable reduction,
    Journal of Algebraic Geometry, 13 (2004), 287-321
  12. Ramification of local fields with imperfect residue fields II (with Ahmed ABBES),
    Documenta Mathematica, Extra Volume Kato (2003), 5-72
  13. Weight spectral sequences and independence of l,
    Journal de l'Institut de Mathematiques de Jussieu 2 (4), (2003), 583-634.
  14. Ramification of local fields with imperfect residue fields (with Ahmed ABBES),
    American Journal of Mathematics, 124.5 (2002), 879-920
  15. (with Qing Liu) Inequality for conductor and differentials of a curve over a local field,
    J. of Algebraic Geometry 9 (2000) 409-424
  16. Weight-monodromy conjecture for l-adic representations associated to modular forms, A supplement to the paper [15],
    in B.B.Gordon et al.(eds.), The arithmetic and geometry of algebraic cycles, 427-431.
  17. Modular forms and p-adic Hodge theory,
    Inventiones Math. 129 (1997) 607-620
  18. (with T.Terasoma) Determinant of period integrals,
    J. of American Math. Soc. 10 (1997) 865-937
  19. The sign of functional equation of the L-function of an orthogonal motive,
    Inventiones Math. 120 (1995) 119-142
  20. Local constant of Ind^L_K1,
    Commentary Math. Helv. 70 (1995) 507-515
  21. Jacobi sum Hecke characters, de Rham discriminant, and the determinant of l-adic cohomologies,
    J. of Algebraic Geometry 3 (1994) 411-434
  22. $\epsilon$-factor of a tamely ramified sheaf on a variety,
    Inventiones Math. 113 (1993) 389-417
  23. The Euler numbers of l-adic sheaves of rank 1 in positive characteristic,
    ICM-90 Satellite conf. Proc. 1991 165-181 pdf
  24. The discriminants of curves of genus 2,
    Compositio Math. 69 (1989) 229-240
  25. Self-intersection 0-cycles and coherent sheaves on arithmetic schemes,
    Duke Math. J. 57 (1988) 555-578
  26. Conductor, discriminant, and the Noether formula of arithmetic surfaces,
    Duke Math. J. 57 (1988) 151-173
  27. (with K.Kato and S.Saito) Artin characters for algebraic surfaces,
    American J. of Math. 110 (1988) 49-75
  28. Vanishing cycles and geometry of curves over a discrete valuation ring,
    American J. of Math. 109 (1987) 1043-1085
  29. Trace formula for vanishing cycles of curves,
    Math. Ann. 276 (1987) 311-315

Preprints

ArXiv
  1. The determinant and the discriminant of a hypersurface of even dimension, with J-P. Serre. arXiv:1110.1717
  2. Stiefel-Whitney classes of l-adic cohomology arXiv:1012.1922
  3. Ramification theory for varieties over a local field, with Kazuya Kato, arXiv:1007.0310
  4. Ramification groups and local constants pdf

Surveys

  1. Wild ramification of schemes and sheaves, Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, 335-356 pdf
  2. Galois representations in arithmetic geometry. suams.pdf (published in Sugaku exposition) (01/04/26)
  3. Galois representations in arithmetic geometry II (translated by Masato Kuwata). GR2.pdf (published in Sugaku exposition) (02/04/08)

Books

  1. Number theory 1, Fermat's dream
    (with K. Kato, N. Kurokawa, translated by M. Kuwata) (2000)
  2. Number theory 2, Introduction to Class Field Theory
    (with K. Kato, N. Kurokawa, translated by M. Kuwata) (2011)