Keywords
Profile
FUKUI Toshizumi
| ■Faculty: | Graduate School of Science and Engineering | ■TEL: | ||
| ■Position: | Professor | ■FAX: | ||
| ■Address: | 255 Shimo-Okubo, Sakura-ku, Saitama City, Saitama 338-8570, JAPAN | ■Mail Address: | ||
| ■Web site: |
Profile
Assigned Class
- Faculty of Science
Academic Background
- Degree
- Geometry of real singularity
Research
Books, Articles, etc.
- Articles
-
Properness of polynomial maps with Newton polyhedrons
,Arnold Mathematical Journal :https://doi.org/10.1007/s40598-022-00205-2 2022
T. Fukui and T. Tsuchiya -
Bifurcation of Euler buckling problem, revisited
,Hokkaido Math J ,50(1):111-150 2021
A Afroz, T Fukui -
Local differential geometry for cuspidal edges and swallowtails,
,Osaka J of Math,57(4):961-992 2020
T Fukui -
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
,Math. Ann.,374:211–251. 2019
Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka and Adam Parusinski -
Contact of a regular surface in Euclidean 3-space with cylinders and cubic binary differential equations
,Journal of the Mathematical Society of Japan,69:819–847 2017
T. Fukui, M. Hasegawa, and K. Nakagawa -
Local differential geometry of singular curves with finite multiplicities
,Saitama Mathematical Journal,31:79-88 2017
T Fukui -
Invariants for bi-Lipschitz equivalence of ideals,
,The Quarterly Journal of Mathematics,68:791-815 2017
C Bivia Ausina and T Fukui -
Motivic invariant of polynomial function and Newton polyhedron
,Math. Proc. Cambridge Philos. Soc.,160:141-166 2016
G. Fichou and T. Fukui -
Mixed Lojasiewicz exponents and log canonical threshold of ideals,
,Journal of Pure and Applied Algebra. ,220:223--245 2016
C. Bivia Ausina and T. Fukui -
Curvature for curves in semi-Euclidean spaces,
,Journal of Geometry ,107:663–683 2016
T. Fukui and Donghe Pei -
Extensions of Koenderink's formula
,J. Gökova Geom. Topol.,10:42-59 2016
Fukui, Toshizumi; Hasegawa, Masaru; Saji, Kentaro -
On the topology of stable maps
,J Math Soc Japan,66-1:161-203 2014
Nicolas Dutertre, Toshizumi Fukui -
Fronts of weighted cones,
,Topics on real and complex singularities, Proceeding of the 4th Japanese-Australian Workshop (JARCS4) :31-49 2013
T. Fukui and M. Hasegawa -
Isolated singularities of binary di erential equations
,Publicacions Matem´atiques,56:65--89 2012
T. Fukui and J. Nu no Ballesteros -
Tame nonsmooth inverse mapping theorems.
SIAM,SIAM J. Optim.,20(3):1573-1590 2009
Fukui, Toshizumi; Kurdyka, Krzysztof; Paunescu, Laurentiu -
写像の特異点の研究
埼玉大学総合研究機構,総合研究機構研究プロジェクト研究成果報告書(6(平成19年度)) 200809
福井 敏純 -
写像の特異点の研究
埼玉大学総合研究機構,総合研究機構研究プロジェクト研究成果報告書(5(18年度)):195-196 2007
福井 敏純
Reseach of singularites of mappings -
多様体の諸構造と接分布の幾何学に関する研究
,科学研究費補助金(基盤研究C)研究成果報告書,平成15-17年度 200604
水谷忠良,阪本邦夫,長瀬正義,福井敏純,酒井文雄,下川航也,江頭信二 -
Cohen-Macaulay properties of Thom-Boardman strata I: Morin's ideal
,Proceedings of London Mathematical Society,80:257-303 2000
T. Fukui, J. Weyman -
Modified Nash trivality of a family of zero-sets of real polynomial mappings
,Annales de l'Institut Fourier, Grenoble ,48:1395-1440 1998
T. Fukui, S. Koike and M. Shiota -
On the number of singularities in generic deformations of map germs
,Journal of the London Mathematical Society,58:141-152 1998
T. Fukui, J. Nuno Ballesteros and M. Saia -
Newton polygons and topology of real zero loci of real polynomials
,Journal of the London Mathematical Society,58:545-563 1998
T. Fukui -
Seeking invariants for blow-analytic equivalence
,Compositio Mathematica,105:95-108 1997
T. Fukui