Takao Yamazaki Publication List

Preprint.
  1. Brauer-Manin pairing, class field theory and motivic homology.
    Spetember 10, 2010. (Last revised on November 11, 2011.) dvi / pdf / arXiv
  2. Somekawa's K-groups and Voevodsky's Hom groups.
    (With Bruno Kahn)
    August 13, 2011. dvi / pdf / arXiv
  3. Torsion points on hyperelliptic Jacobians via Anderson's p-adic soliton theory.
    (With Yuken Miyasaka)
    November 8, 2011. (Last revised on November 13, 2011.) dvi / pdf / arXiv

Published papers.
  1. Singular fiber of the Mumford system and rational solutions to the KdV hierarchy.
    (With Pol Vanhaecke and Rei Inoue)
    Communications on Pure and Applied Mathematics, 63, 508-532 (2010) / dvi / pdf / arXiv
  2. A counterexample to generalizations of the Milnor-Bloch-Kato conjecture.
    (With Michael Spieß)
    Journal of K-theory, 4, No. 1, 77-90 (2009) / dvi / pdf / arXiv
  3. Milnor K-group attached to a torus and Birch-Tate conjecture.
    International Journal of Mathematics, 20, No. 7, 841-857 (2009) / dvi / pdf / arXiv
  4. Class field theory for a product of curves over a local field.
    Mathematische Zeitschrift, 261, No. 1, 109-121 (2009) / dvi / pdf / arXiv
  5. Jacobian variety and integrable system --- after Mumford, Beauville and Vanhaecke.
    (With Rei Inoue and Yukiko Konishi)
    Journal of Geometry and Physics, 57, No. 3, 815-831 (2007). doi link / dvi / pdf / arXiv
  6. Cohomological study on variants of the Mumford system, and integrability of Noumi-Yamada system.
    (With Rei Inoue)
    Communications in Mathematical Physics, 265, 699-719 (2006). dvi / arXiv
  7. On Chow and Brauer groups of a product of Mumford curves.
    Mathematische Annalen, 333, 549-567 (2005). dvi
  8. Torsion zero-cycles on a product of canonical liftings of elliptic curves.
    K-theory 31, 289-306 (2004). dvi
  9. On Tate duality for Jacobian varieties.
    Journal of Number Theory 99, 298-306 (2003).
  10. Tate duality and ramification of division algebras.
    Acta Mathematica et Informatica Universitatis Ostraviensis 10, 153-160 (2002).
    (Proceedings of the 15th Czech and Slovak International Conference on Number Theory, Ostravice, 2001).
  11. The exponential homomorphism for the second syntomic cohomology.
    Journal of Algebra 240, 103-119 (2001).
  12. Formal Chow groups, p-divisible groups and syntomic cohomology.
    Duke Mathematical Journal 102, No.2, 359-390 (2000).
  13. On Swan conductors for Brauer groups of curves over local fields.
    Proceedings of the American Mathematical Society 127, No.5, 1269-1274 (1999).
  14. Reduced norm map of division algebras over complete discrete valuation fields of certain type.
    Compositio Mathematica 112, No.2, 127-145 (1998).
Proceedings editorial.
  1. Algebraic Number Theory and Related Topics 2009
    Eds.: T. Ichikawa, M. Kida, T. Yamazaki.
    RIMS Kokyuroku Bessatsu B25, April, 2011.
  2. Japan-Korea Joint Seminar on Number Theory and Related Topics 2008.
    Eds.: Hideo Imai, Yoshihiro Ochi, Jaebum Sohn, Yuichiro Taguchi, Hisao Taya, Takao Yamazaki.
    Interdiscip. Inform. Sci. 16 (2010), no. 1.
Japanese articles (Japanese site)

Takao Yamazaki Homepage Japanese site / English site