FUKUMA Yoshiaki

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Name
FUKUMA Yoshiaki
URL
http://www.math.kochi-u.ac.jp/fukuma/index.html
Affiliation
Kochi University
Section
Research and Education Faculty, Natural Sciences Cluster Sciences Unit, Faculty of Science, Mathematics
Job title
Professor
Degree
(BLANK)(Tokyo Institute of Technology)

Research Interests

 
 

Research Areas

 
 

Academic & Professional Experience

 
1997
 - 
2000
Naruto University of Education, Research Assistant
 
1996
 - 
1997
Japan Society for the Promotion of Science, Research Fellow
 

Education

 
 
 - 
1996
Graduate School, Division of Science and Engineering, Tokyo Institute of Technology
 
 
 - 
1991
Faculty of Science, The University of Tokyo
 

Published Papers

 
Classification of multi-polarized n-folds of sectional genus two
FUKUMA Yoshiaki
Beitr. Algebra Geom.   60(1) 95-109   2019   [Refereed]
Classification of bi-polarized 3-folds (X,L_{1},L_{2}) with h^{0}(K_{X}+L_{1}+L_{2})=1
FUKUMA Yoshiaki
Hiroshima Math. J.   48(2) 159-170   2018   [Refereed]
A note on the dimension of global sections of adjoint bundels for polarized 4-folds
FUKUMA Yoshiaki
Proc. Japan Acad. Ser. A Math. Sci.   94(5) 53-58   2018   [Refereed]
New invariants of ample vector bundles over smooth projective varieties
FUKUMA Yoshiaki
Rend. Mat. Appl. (7)   39(1) 97-131   2018   [Refereed]
A property for the formula of the sectional classes of classical scrolls
FUKUMA Yoshiaki
Yokohama Math. J.   63 25-40   2017   [Refereed]
Second sectional classes of polarized three-folds
FUKUMA Yoshiaki
Tokyo J. Math.   40(2) 481-494   2017   [Refereed]
A note on classification of generalized polarized manifolds by the c_{r}-sectional Hodge number of type (1,1) and the c_{r}-sectional Betti number
FUKUMA Yoshiaki
Rev. Roumaine Math. Pures Appl.   62(4) 529-535   2017   [Refereed]
On the dimensionof H^{0}(K_{X}+mL) of polarized n-folds (X,L) with m\geq n
FUKUMA Yoshiaki
Kyushu J. Math.   71(1) 115-128   2017   [Refereed]
On the class of porjective surfaces of general typed
FUKUMA Yoshiaki, ITO Kazuhisa
Hokkaido Math. J.   46(3) 407-422   2017   [Refereed]
A note on a result of Lamteri about the class of a polarized surface
FUKUMA Yoshiaki
Hiroshima Math. J.   46(1) 79-85   2016   [Refereed]
On polarized 3-folds (X,L) such that h^{0}(L)=2 and the sectional genus of (X,L) is equal to the irregularity of X
FUKUMA Yoshiaki
Comm. Algebra   44(4) 1728-1739   2016   [Refereed]
On polarized 4-folds (X,L) with h^{0}(K_{X}+3L)=1
FUKUMA Yoshiaki
J. Pure Appl. Algebra   220(3) 1178-1187   2016   [Refereed]
Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized n-folds, II
FUKUMA Yoshiaki
J. Algebra Appl.   15(1) 1650003-1-1650003-9   2016   [Refereed]
Sectional class of ample line bundles on smooth projective varieties
FUKUMA Yoshiaki
Riv. Math. Univ. Parma (N.S.)   6(2) 215-240   2015   [Refereed]
On a conjecture of Beltrametti-Sommese for polarized 4-folds
FUKUMA Yoshiaki
Kodai Math. J.   38(2) 343-351   2015   [Refereed]
On sectional genus of multi-quasi-polarized manifolds
FUKUMA Yoshiaki
Kyushu J. Math.   69(1) 49-62   2015   [Refereed]
Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized n-folds
FUKUMA Yoshiaki
J. Algebra Appl.   13(7) 1450046-1-1450046-24   2014   [Refereed]
On complex n-folds polarized by an ample line bundle L with Bs|L|=\emptyset, g(X,L)=q(X)+m and h^{0}(L)=n+m-1
FUKUMA Yoshiaki
Kodai Math. J.   37(1) 34-58   2014   [Refereed]
On classification of polarized 3-folds (X,L) with h^{0}(K_{X}+2L)=2
FUKUMA Yoshiaki
Beitr. Algebra Geom.   55(1) 77-103   2014   [Refereed]
Classification of polarized manifolds by the second sectional Betti number, II
FUKUMA Yoshiaki
Rend. Istit. Mat. Univ.Trieste   45 47-66   2013   [Refereed]
FUKUMA Yoshiaki
Kodai Mathematical Journal   31(2) 219-256   2008   [Refereed]
Addendum: ``On the sectional geometric genus of quasi-polarized varieties. I'' [Comm. Algebra 32 (2004), no. 3, 1069--1100]
FUKUMA Yoshiaki
Communications in Algebra   36(9) 3250-3252   2008   [Refereed]
FUKUMA Yoshiaki
Journal of Algebra   320(9) 3543-3558   2008   [Refereed]
FUKUMA Yoshiaki
Advances in Geometry   8(4) 591-614   2008   [Refereed]
FUKUMA Yoshiaki
Journal of Pure and Applied Algebra   209(1) 99-117   2007   [Refereed]
FUKUMA Yoshiaki
Journal of Pure and Applied Algebra   211(3) 609-621   2007   [Refereed]
FUKUMA Yoshiaki
International Journal of Mathematics   17(7) 761-789   2006   [Refereed]
FUKUMA Yoshiaki
Mathematische Zeitschrift   250(3) 573-597   2005   [Refereed]
FUKUMA Yoshiaki
Advances in Geometry   5(3) 431-454   2005   [Refereed]
FUKUMA Yoshiaki
Journal of the Mathematical Society of Japan   57(4) 1003-1044   2005   [Refereed]
On invariants of polynomial functions
FUKUMA Yoshiaki
Japanese Journal of Mathematics   31(2) 345-378   2005   [Refereed]
FUKUMA Yoshiaki
Communications in Algebra   32(3) 1069-1100   2004   [Refereed]
On the second sectional geometric genus of polarized manifolds
FUKUMA Yoshiaki
Advances in Geometry   4(2) 215-239   2004   [Refereed]
FUKUMA Yoshiaki
Manuscripta Mathematica   113(2) 211-237   2004   [Refereed]
FUKUMA Yoshiaki
Journal of Pure and Applied Algebra   194(1-2) 113-126   2004   [Refereed]
Problems on the second sectional invariants of polarized manifolds
FUKUMA Yoshiaki
Memoirs of the Faculty of Science, kochi University, Series A Mathematics   25, 55-64    2004
On effective divisors on smooth projective surfaces
FUKUMA Yoshiaki
Kodai Mathematical Journal   26(1) 26-43   2003   [Refereed]
Polarized Surfaces (X, L) with g(L)=g(X)+m and h°(L)≧m+2
FUKUMA Yoshiaki
Rendiconti del Seminario Matematico dell'Universita di Padova   109(1) 13-39   2003   [Refereed]
On polarized surfaces (X, L) with h°(L)≥2κ(X)≥0, and g(L)=q(x)+1
FUKUMA Yoshiaki
Hokkaido mathemation Journal   32(3) 539-549   2003   [Refereed]
On the Cr-sectional geometric genus of generalized polarized manifolds
FUKUMA Yoshiaki
japanese Journal of Mathematics   29(2) 335-355   2003   [Refereed]
A lower bound for KxL2 of polarized 3-folds(X, L) of general type
Kyushu Journal of Mathematics   56(1) 203-219   2002
On Ample Line Bundles Which are not Spanned on Abelian 3-Folds
Mathmatische Nachrichten   224 105-121   2001
A Classification of Polarized Surface (X, L) with κ(X)*0, dim BsILI*0, g(L)=q(X)+m, and h°(L)=m+1
Kodai Mathematical Journal   24(2) 285-304   2001
On sectional genus of quasi-polarized manifolds with nonnegative Kodaira dimension, Ⅱ
Kodai Mathematical Journal   23(1) 136-149   2000
On Complex manifolds polarized by an ample line bundle of sectional genus q (X) +2
Mathematische Zeitschrift   234(3) 573-604   2000
A note on tensor products of ample line bundles on abelian varieties
Proceedings of the American Mathematical Society   128(9) 2513-2516   2000
On Complex n-folds polarized by an ample Line Bundle L with dim BsILI*O, g (L)=q (X) +m, and h°(L)*n+m
Communications in Algbra   28(12) 5769-5782   2000
A generalization of curve genus for ample vector bundles, Ⅱ
Joint work with Hironobu Ishihara
Pacific Journal of Mathematics   193(2) 307-326   2000
On quasi-polarized surfaces of general type whose sectional genus is equal to the irregularity
Geometriae Dedicata   74(1) 37-47   1999
On Sectional genus of quasi-polarized 3-folds
Transactions of the American Mathematical Society   351(1) 363-377   1999
On sectional genus of quasi-polarized manifolds (X, L) with h゜(L)=1
Kyushu Journal of Mathematics   53(2) 431-448   1999
On k-very ampleness of tensor products of ample line bundles on abelian surfaces
Rendiconti del Seminario Matematico dell'Universita di Padova   101 209-227   1999
On Polarized Surfaces (X, L) with h°(L)>O, κ(X)*0 and g(L)=q(X)+1
Geometriae Dedicata   69(2) 189-206   1998
On the nonemptiness of the adjoint linear system of polarized manifolds
Canadian Mathematical Bulletin   41(3) 267-278   1998
A lower bound for KxL of quasi-polarized surfaces (X, L) with non-negative Kodaira dimension
Canadian Journal of Mathematics   50(6) 1209-1235   1998
On Sectional genus of k-very ample line bundles on smooth surfaces with non-negative Kodaira dimension
Kodai Mathematical Journal   21(2) 153-178   1998
Complex manifolds polarized by an ample and spanned line bundle of sectional genus three
Joint work with Hironobu Ishihara
Archiv der Mathematik   71(2) 159-168   1998
A lower bound for sectional genus of quasi-polarized manifolds
Journal of the Mathematical Society of Japan   49(2) 339-362   1997
A lower bound for the sectional genus of quasi-polarized surfaces
Geometriae Dedicata   64(2) 229-251   1997
On Polarized 3-folds (X, L) with g(L)=q(X)+1 and h°(L)*4
Arkiv for Matematik   35(2) 299-311   1997
On relative Kodaira energy of quasi-polarized fibre spaces and its application
Mathematical Proceedings of the Cambridge Philosophical Society   122(3) 503-513   1997
A lower bound for the sectional genus of quasi-polarized Surfaces, Ⅱ
Remdiconti Del Seminario Matematico Universita'e Politecnico Torino   55(3) 189-202   1997
On Sectional Genus of Quasi-Polarized Manifolds with Non-Negative Kodaira Dimension
Mathematische Nachrichten   180 75-84   1996
On Polarized Surfaces (X, L) with h°(L)>O, κ(X)=2, and q(L)=q(X)
Transactions of the American Mathematical Society   348(10) 4185-4197   1996

Conference Activities & Talks

 
On the dimension of the global sections of adjoint bundles for polarized manifolds [Invited]
FUKUMA Yoshiaki
Algebraic surfaces and related topics   28 Aug 2019   

Research Grants & Projects

 
Study on the structure of polarized varieties by thier sectional invariants and its applications.
Grant-in-Aid for Scientific Research
Project Year: 2005 - 2007
Study on Classification of Polarized Manifolds by the Sectional Geometric Genus and its Application
Grant-in-Aid for Scientific Research
Project Year: 2002 - 2005
Study on Sectional Genus of Polarized Manifolds
The Other Research Programs