KINDAI UNIVERSITY


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NAKAMURA Yayoi

Profile

FacultyDepartment of Science / Graduate School of Science and Engineering Research
PositionAssociate Professor
Degree
Commentator Guidehttps://www.kindai.ac.jp/meikan/521-nakamura-yayoi.html
URL
Mail
Last Updated :2020/04/03

Education and Career

Academic & Professional Experience

  •   2011 , Faculty of Science and Engineering, Kindai University

Research Activities

Research Areas

  • Natural sciences, Basic analysis
  • Natural sciences, Geometry

Research Interests

  • Milnor algebra

Published Papers

  • The b-function of Reiffen's (p,4) isolated singularity., Yayoi Nakamura, Journal of Algebra and Its Applications, Journal of Algebra and Its Applications, 15(6), 2016 , Refereed
  • Annihilating ideals for an algebraic local cohomology class, Journal of Symbolic Computation, Journal of Symbolic Computation, 44, 435 - 448, 2009
  • On invariants of Reiffen's isolated singularity, RIMS Kokyuroku Bessatsu, RIMS Kokyuroku Bessatsu, B5, 7 - 14, 2008
  • On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities, Proceedings of the third Franco-Japanese symposium, Proceedings of the third Franco-Japanese symposium, 2006
  • Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities, Publ. RIMS, Publ. RIMS, 41, 1 - 10, 2005
  • Computational aspects of Grothendieck local residues, Seminaires et Congres, Seminaires et Congres, 10, 287 - 305, 2005
  • Unimodal singularities and differential operators, Seminaires et Congres, Seminaires et Congres, 10, 191 - 208, 2005
  • On the dual space of the Tjurina algebra attached to a semiquasihomogeneous isolated singularity, Banach Center Publications, Banach Center Publications, 65, 261 - 272, 2004
  • A method for constructiong holomic systems for algebraic local cohomology classes with support on a zero dimensional variety, Proceedings of the First International Congress of Mathematical Software, Proceedings of the First International Congress of Mathematical Software, 158 - 168, 2002
  • Local cohomology classes and dual bases for quasihomogeneous isolated singularities, Proceedings of the eighth international colloquium on complex analysis, Proceedings of the eighth international colloquium on complex analysis, 213 - 218, 2001
  • An algorithm for the local residue with the viewpoint of D-modules, Proceedings of the second Congress of International Society for Analysis, its Applications and Comp, Proceedings of the second Congress of International Society for Analysis, its Applications and Comp, 809 - 817, 2000
  • Local cohomology and ideal of partial differential operators, Finite or Infinite Dimensional Complex Analysis, Finite or Infinite Dimensional Complex Analysis, 345 - 351, 2000
  • Residue calculus with differential operators, Kyushu J. of Mathematics, Kyushu J. of Mathematics, 54, 127 - 136, 2000
  • An algorithm for computing the residue of a rational function via D-Modules, Josai Mathematical Monographes, Josai Mathematical Monographes, 2, 149 - 158, 2000
  • Construction of a system of differential operators as annihilators of a cohomology class -- in connection with quasihomogeneous singularities--, Josai Mathematical Monographes, Josai Mathematical Monographes, 2, 139 - 148, 2000

Misc

  • A study of Bimodal exceptional singularity with holonomic system (Painleve systems and hypergeometric systems), Nakamura Yayoi, RIMS Kokyuroku, 1239, 69, 83,   2001 11 , http://ci.nii.ac.jp/naid/110000165908
  • A study of semiquasihomogeneous singularities by using holonomic system (Newton polyhedrons and Singularities), Nakamura Yayoi, Tajima Shinichi, RIMS Kokyuroku, 1233, 51, 66,   2001 10 , http://ci.nii.ac.jp/naid/110000165818
  • Computing point residues for a shape basis case via differential operators (Microlocal Analysis and Related Topics), Tajima Shinichi, Nakamura Yayoi, RIMS Kokyuroku, 1158, 87, 97,   2000 06 , http://ci.nii.ac.jp/naid/110000164576
  • Conjectures about the differential operators in an algorithm for computing the residues (Microlocal Analysis and PDE in the Complex Domain), Tajima Shinichi, Nakamura Yayoi, RIMS Kokyuroku, 1159, 81, 86,   2000 06 , http://ci.nii.ac.jp/naid/110000164594
  • On asymptotic estimates for coefficients of divergent solutions to second order non-homogeneous linear ordinary differential equations (Complex Analysis and Microlocal Analysis), Nakamura Yayoi, RIMS Kokyuroku, 1090, 116, 125,   1999 04 , http://ci.nii.ac.jp/naid/110000163430
  • Multidimensional local residues and holonomic D-modules(Singularities and Complex Analytic Geometry), Tajima Shinichi, Oaku Toshinori, Nakamura Yayoi, RIMS Kokyuroku, 1033, 59, 70,   1998 04 , http://ci.nii.ac.jp/naid/110002538306