List of English publications


Articles

mathscinet, Summary (01/03/15)
  1. Wild ramification determines the characteristic cycle (with Yuri Yatagawa),
    Annales Scientifiques de l'Ecole normale superieure, 50, fascicule 4 (2017), 1065-1079. doi:10.24033/asens.2339
  2. Characteristic cycle of the external product of constructible sheaves,
    Manuscripta Mathematica, 154, Issue 1-2, 2017, pp 1-12. DOI: 10.1007/s00229-016-0913-4
  3. Wild ramification and the cotangent bundle,
    Journal of Algebraic Geometry, 26 (2017), 399-473. DOI: https://doi.org/10.1090/jag/681
  4. The characteristic cycle and the singular support of a constructible sheaf,
    Inventiones mathematicae, 207(2) (2017), 597-695 on line first, 1-99
    DOI 10.1007/s00222-016-0675-3 arxiv an old version before Beilinson's work
  5. Characteristic cycle and the Euler number of a constructible sheaf on a surface arXiv:1402.5720
    Kodaira Centennial issue of the Journal of Mathematical Sciences, the University of Tokyo, vol 22, 2015 pp. 387-442.
  6. Ramification theory for varieties over a local field, with Kazuya Kato,
    Publications Mathematiques, IHES. 117, Issue 1 (2013), Page 1-178 arXiv:1007.0310
  7. The determinant and the discriminant of a hypersurface of even dimension. arXiv:1110.1717,
    Mathematical Research Letters. 19 (2012), no. 04, 855-871
  8. The second Stiefel-Whitney classes of l-adic cohomology,
    Journal fur die reine und angewandte Mathematik, Volume 2013, Issue 681, Pages 101-147, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle-2012-0035, August 2013
  9. Ramification and cleanliness (with Ahmed Abbes),
    Tohoku Mathematical Journal, Centennial Issue, 63 No. 4 (2011), 775-853. arXiv:1007.3873
  10. Ramification of local fields with imperfect residue fields III,
    Mathematische Annalen, 352, Issue 3 (2012), 567-580.
  11. Local Fourier transform and epsilon factors (with Ahmed Abbes)
    Compositio Mathematica, 146-6, (2010) 1507-1551.
  12. Hilbert modular forms and p-adic Hodge theory,
    Compositio Mathematica, 145-5, (2009) 1081-1113.
  13. 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)
  14. 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
  15. Ramification theory for varieties over a perfect field (with Kazuya Kato)
    Annals of Mathematics, 168 (2008), 33-96.
  16. The characteristic class and ramification of an l-adic étale sheaf (with Ahmed Abbes)
    Inventiones Mathematicae 168 No. 3 (2007) 567-612
  17. On the conductor formula of Bloch (with Kazuya KATO). corrections
    Publications Mathematiques, IHES 100, (2004), 5-151.
  18. Parity in Bloch's conductor formula.
    Journal de Th\'eorie des Nombres de Bordeaux, 16-2 (2004), 403-421.
  19. Log smooth extension of family of curves and semi-stable reduction,
    Journal of Algebraic Geometry, 13 (2004), 287-321
  20. Ramification of local fields with imperfect residue fields II (with Ahmed ABBES),
    Documenta Mathematica, Extra Volume Kato (2003), 5-72
  21. Weight spectral sequences and independence of l,
    Journal de l'Institut de Mathematiques de Jussieu 2 (4), (2003), 583-634.
  22. Ramification of local fields with imperfect residue fields (with Ahmed ABBES),
    American Journal of Mathematics, 124.5 (2002), 879-920
  23. (with Qing Liu) Inequality for conductor and differentials of a curve over a local field,
    J. of Algebraic Geometry 9 (2000) 409-424
  24. Weight-monodromy conjecture for l-adic representations associated to modular forms, A supplement to the paper [21],
    in B.B.Gordon et al.(eds.), The arithmetic and geometry of algebraic cycles, 427-431.
  25. Modular forms and p-adic Hodge theory,
    Inventiones Math. 129 (1997) 607-620
  26. (with T.Terasoma) Determinant of period integrals,
    J. of American Math. Soc. 10 (1997) 865-937
  27. The sign of functional equation of the L-function of an orthogonal motive,
    Inventiones Math. 120 (1995) 119-142
  28. Local constant of Ind^L_K1,
    Commentary Math. Helv. 70 (1995) 507-515
  29. Jacobi sum Hecke characters, de Rham discriminant, and the determinant of l-adic cohomologies,
    J. of Algebraic Geometry 3 (1994) 411-434
  30. $\epsilon$-factor of a tamely ramified sheaf on a variety,
    Inventiones Math. 113 (1993) 389-417
  31. The Euler numbers of l-adic sheaves of rank 1 in positive characteristic,
    ICM-90 Satellite conf. Proc. 1991 165-181 pdf
  32. The discriminants of curves of genus 2,
    Compositio Math. 69 (1989) 229-240
  33. Self-intersection 0-cycles and coherent sheaves on arithmetic schemes,
    Duke Math. J. 57 (1988) 555-578
  34. Conductor, discriminant, and the Noether formula of arithmetic surfaces,
    Duke Math. J. 57 (1988) 151-173
  35. (with K.Kato and S.Saito) Artin characters for algebraic surfaces,
    American J. of Math. 110 (1988) 49-75
  36. Vanishing cycles and geometry of curves over a discrete valuation ring,
    American J. of Math. 109 (1987) 1043-1085
  37. Trace formula for vanishing cycles of curves,
    Math. Ann. 276 (1987) 311-315

Preprints

ArXiv
  1. Characteristic cycles and the conductor of direct image, arxiv
  2. On the proper push-forward of the characteristic cycle of a constructible sheaf, arxiv accepted for publication at Proceedings of Symposia in Pure Mathematics
  3. Ramification groups and local constants pdf

Surveys

  1. Perfectoid spaces and the weight-monodromy conjecture, after Peter Scholze, Acta Mathematica Vietnamica, March 2014, Volume 39, Issue 1, pp 55-68, DOI: 10.1007/s40306-013-0044-x
  2. Wild ramification of schemes and sheaves, Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, 335-356
  3. Galois representations and modular forms. Autour des Motifs III, Panoramas et Syntheses 49, SMF 1-27.
  4. Galois representations in arithmetic geometry. suams.pdf (published in Sugaku exposition) (01/04/26)
  5. Galois representations in arithmetic geometry II (translated by Masato Kuwata). GR2.pdf (published in Sugaku exposition) (02/04/08)

Books

  1. Fermat's Last Theorem : Basic Tools (translated by M. Kuwata) (2013)
  2. Fermat's Last Theorem : The proof (translated by M. Kuwata) (2014)
  3. Number theory 1, Fermat's dream
    (with K. Kato, N. Kurokawa, translated by M. Kuwata) (2000)
  4. Number theory 2, Introduction to Class Field Theory
    (with K. Kato, N. Kurokawa, translated by M. Kuwata) (2011)
  5. Number theory 3, Iwasawa Theory and Modular Forms
    (with N. Kurokawa, M. Kurihara translated by M. Kuwata) (2012)