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J-GLOBAL ID:200901005317385919   Update date: Feb. 01, 2024

NAKAJIMA Yukiyoshi

ナカジマ ユキヨシ | NAKAJIMA Yukiyoshi
Affiliation and department:
Job title: Professor
Research theme for competitive and other funds  (2):
  • 2018 - 2022 log crystalline cohomolgies of semistable varieties and deformation theory of log varieties in positive characteristic
  • 2013 - 2017 p-adic cohomologies of arithmetic varieties
Papers (12):
  • Yukiyoshi Nakajima. Artin-Mazur heights and Yobuko heights of proper log smooth schemes of Cartier type, and Hodge-Witt decompositions and Chow groups of quasi-F-split threefolds. Journal für die reine und angewandte Mathematik. 2022. 787. 1-44
  • Yukiyoshi Nakkajima・Fuetaro Yobuko. Degenerations of log Hodge de Rham spectral sequences and log Kodaira vanishing theorem in characteristic p > 0, and log weak Lefschetz conjecture for log crystalline cohomologies. European Journal of Mathematics. 2021. 7. 1537-1615
  • Congruences of the cardinalities of rational points of log Fano schemes and log Calabi-Yau schemes over the log points of finite fields. Journal of Algebra, Number Theory: Advances and Applications. 2019. 21. 1. 1-51
  • Yukiyoshi Nakkajima. Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degenerations of surfaces. パドバ大学紀要. 2006. 116巻. 71-185-185
  • p-adic weight spectral sequences of log varieties. 東京大学数理科学雑誌. 2005. 12. 513-661
more...
MISC (4):
  • Book review: Bernard Le Stum: Rigid Cohomology, Cambridge Tracts in Math., 172, Cambridge Univ. Press, 2007, pp.319. 2012. 64. 1. 97-101
  • 常微分方程式 (東京電機大学出版局. 2000
  • Introduction to the Abhyankar's conjecture for P^1\setminus \{ \infty\} for the case G\not=G(S) after M. Raynaud. 京都大学数理解析研究所講究録. 1998. 1073. 14-28
  • Finite Group Schemes II. 1996. 942. 14-28
Books (2):
  • Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic $p>0$
    2012
  • Weight filtrations on log crystalline cohomologies of families of open smooth varieties
    シュプリンガー 2008 ISBN:9783540705642
Lectures and oral presentations  (21):
  • Theory of Hirsch weight-filtered log crystalline complex
    (p-adic cohomology and arithmetic geometry 2022 2022)
  • The action of the crystalline Weil-Deligne group on the infinitesimal cohomology in mixed characteristics
    (p-adic cohomology and arithmetic geometry 2019 2019)
  • Artin-Mazur’s height and Yobuko’s height
    (Hakodate workshop on arithmetic geometry 2018 2018)
  • Artin-Mazur height, Yobuko height and Hodge-Wittt cohomologies
    (2018)
  • Weight filtrations on the log de Rham cohomology groups of a semistable log smooth degeneration
    (Log geometry, degenerations and related topics 2018)
more...
Education (1):
  • 1991 - 1994 Tokyo University mathematical science Arithmetic Geometry
Professional career (1):
  • mathematical science (Tokyo University)
Awards (1):
  • 2018/01 - Marquis Who's Who 2018 Albert Nelson Marquis Lifetime Achievement Award
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