Edit Profile (opens in new tab) Fukuma, Yoshiaki Co-Author Distance Author ID: fukuma.yoshiaki Published as: Fukuma, Yoshiaki; Fukuma, Y. Further Spellings: 福間 慶明 Homepage: http://www.math.kochi-u.ac.jp/fukuma/index.html Documents Indexed: 90 Publications since 1991 Reviewing Activity: 61 Reviews Co-Authors: 6 Co-Authors with 7 Joint Publications 35 Co-Co-Authors all top 5 Co-Authors 83 single-authored 2 Ishihara, Hironobu 2 Matsunaga, Hiromichi 1 Hosono, Kiyoshi 1 Ito, Kazuhisa 1 Nomakuchi, Kentaro 1 Uraki, Atsushi all top 5 Serials 10 Kodai Mathematical Journal 6 Journal of Pure and Applied Algebra 6 Kyushu Journal of Mathematics 5 Communications in Algebra 4 Hokkaido Mathematical Journal 4 Rendiconti del Seminario Matematico della Università di Padova 3 Geometriae Dedicata 3 Journal of the Mathematical Society of Japan 3 Advances in Geometry 2 Beiträge zur Algebra und Geometrie 2 Hiroshima Mathematical Journal 2 Journal of Algebra 2 Japanese Journal of Mathematics. New Series 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Tokyo Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Memoirs of the Faculty of Science. Series A. Mathematics 2 Journal of Algebra and its Applications 2 Rivista di Matematica della Università di Parma. New Series 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Arkiv för Matematik 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Manuscripta Mathematica 1 Le Matematiche 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Faculty of Science of Tokai University 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico 1 Yokohama Mathematical Journal 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 International Journal of Mathematics 1 Memoirs of the Faculty of Science and Engineering. Shimane University. Series B. Mathematical Science 1 RIMS Kokyuroku 1 Algebra and Discrete Mathematics 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 87 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 59 Publications have been cited 261 times in 54 Documents Cited by ▼ Year ▼ On the sectional geometric genus of quasi-polarized varieties. I. Zbl 1068.14008 Fukuma, Yoshiaki 22 2004 A lower bound for sectional genus of quasi-polarized manifolds. Zbl 0899.14003 Fukuma, Yoshiaki 18 1997 A lower bound for the sectional genus of quasi-polarized surfaces. Zbl 0897.14008 Fukuma, Yoshiaki 15 1997 On a conjecture of Beltrametti-Sommese for polarized 3-folds. Zbl 1100.14003 Fukuma, Yoshiaki 14 2006 On the dimension of global sections of adjoint bundles for polarized 3-folds and 4-folds. Zbl 1126.14009 Fukuma, Yoshiaki 13 2007 On the second sectional \(H\)-arithmetic genus of polarized manifolds. Zbl 1071.14008 Fukuma, Yoshiaki 12 2005 On sectional genus of quasi-polarized 3-folds. Zbl 0905.14003 Fukuma, Yoshiaki 8 1999 On the nonemptiness of the adjoint linear system of polarized manifolds. Zbl 0955.14040 Fukuma, Yoshiaki 8 1998 On a conjecture of Beltrametti-Sommese for polarized 4-folds. Zbl 1327.14038 Fukuma, Yoshiaki 8 2015 On the sectional geometric genus of quasi-polarized varieties. II. Zbl 1080.14013 Fukuma, Yoshiaki 8 2004 On polarized 3-folds \((X,L)\) with \(g(L)=q(X)+1\) and \(h^0(L)\geq 4\). Zbl 0930.14027 Fukuma, Yoshiaki 7 1997 A study on the dimension of global sections of adjoint bundles for polarized manifolds. Zbl 1160.14002 Fukuma, Yoshiaki 7 2008 A formula for the sectional geometric genus of quasi-polarized manifolds by using intersection numbers. Zbl 1064.14010 Fukuma, Yoshiaki 7 2004 A lower bound for the second sectional geometric genus of polarized manifolds. Zbl 1079.14012 Fukuma, Yoshiaki 6 2005 On polarized surfaces \((X, L)\) with \(h^ 0 (L)> 0\), \(\kappa (X)= 2\), and \(g(L)= q(X)\). Zbl 0878.14005 Fukuma, Yoshiaki 5 1996 Invariants of ample line bundles on projective varieties and their applications. I. Zbl 1146.14004 Fukuma, Yoshiaki 5 2008 Invariants of ample line bundles on projective varieties and their applications. II. Zbl 1206.14019 Fukuma, Yoshiaki 5 2010 On the sectional invariants of polarized manifolds. Zbl 1106.14003 Fukuma, Yoshiaki 5 2007 On the dimension of \(H^0(K_X+mL)\) of polarized \(n\)-folds \((X,L)\) with \(m\geq n\). Zbl 1366.14010 Fukuma, Yoshiaki 5 2017 On the second sectional geometric genus of quasi-polarized manifolds. Zbl 1070.14010 Fukuma, Yoshiaki 5 2004 The sectional genus of quasi-polarized manifolds with non-negative Kodaira dimension. Zbl 0870.14001 Fukuma, Yoshiaki 4 1996 A lower bound for \(K_XL\) of quasi-polarized surfaces \((X,L)\) with non-negative Kodaira dimension. Zbl 0930.14002 Fukuma, Yoshiaki 4 1998 Problems on the second sectional invariants of polarized manifolds. Zbl 1059.14066 Fukuma, Yoshiaki 4 2004 On classification of polarized 3-folds \((X,L)\) with \(h^0(K_X+2L)=2\). Zbl 1296.14005 Fukuma, Yoshiaki 4 2014 On polarized 4-folds \((X,L)\) with \(h^0(K_X + 3L)=1\). Zbl 1327.14039 Fukuma, Yoshiaki 4 2016 Complex manifolds polarized by an ample and spanned line bundle of sectional genus three. – Appendix. Zbl 0939.14016 Fukuma, Yoshiaki; Ishihara, Hironobu 3 1998 A lower bound for the sectional genus of quasi-polarized surfaces. II. Zbl 1049.14026 Fukuma, Y. 3 1997 On complex manifolds polarized by an ample line bundle of sectional genus \(q(X)+2\). Zbl 0970.14005 Fukuma, Yoshiaki 3 2000 On the sectional geometric genus of multi-polarized manifolds and its application. Zbl 1192.14007 Fukuma, Yoshiaki 3 2008 On quasi-polarized manifolds whose sectional genus is equal to the irregularity. Zbl 1230.14055 Fukuma, Yoshiaki 3 2011 Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds. Zbl 1200.14019 Fukuma, Yoshiaki 3 2011 A generalization of curve genus for ample vector bundles. II. Zbl 1023.14017 Fukuma, Yoshiaki; Ishihara, Hironobu 3 2000 On complex \(n\)-folds polarized by an ample line bundle \(L\) with \(\dim\text{Bs}|L|\leq 0, g(L)=q(X)+m\), and \(h^0(L)\geq n+m\). Zbl 1023.14002 Fukuma, Yoshiaki 3 2000 Sectional class of ample line bundles on smooth projective varieties. Zbl 1346.14018 Fukuma, Yoshiaki 2 2015 A note on a result of Lanteri about the class of a polarized surface. Zbl 1341.14003 Fukuma, Yoshiaki 2 2016 Sectional invariants of scroll over a smooth projective variety. Zbl 1173.14040 Fukuma, Yoshiaki 2 2009 Second sectional classes of polarized three-folds. Zbl 1391.14014 Fukuma, Yoshiaki 2 2017 A generalization of the \(\Delta\)-genus of quasi-polarized varieties. Zbl 1093.14012 Fukuma, Yoshiaki 2 2005 A study on the dimension of global sections of adjoint bundles for polarized manifolds. II. Zbl 1225.14007 Fukuma, Yoshiaki 2 2011 A lower bound for the second sectional geometric genus of quasi-polarized manifolds and its applications. Zbl 1244.14027 Fukuma, Yoshiaki 2 2011 On the dimension of the global sections of the adjoint bundle for polarized 5-folds. Zbl 1491.14012 Fukuma, Yoshiaki 2 2021 On \(k\)-very ampleness of tensor products of ample line bundles on abelian surfaces. Zbl 0956.14001 Fukuma, Yoshiaki 1 1999 Addendum to “On the sectional geometric genus of quasi-polarized varieties. I” [Commun. Algebra 32, 1069–1100 (2004)]. Zbl 1145.14302 Fukuma, Yoshiaki 1 2008 A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number. Zbl 1156.14007 Fukuma, Yoshiaki 1 2008 On sectional genus of quasi-polarized manifolds with non-negative Kodaira dimension. II. Zbl 0967.14007 Fukuma, Yoshiaki 1 2000 On polarized surfaces \((X,L)\) with \(h^0(L)>0\), \(\kappa(X)\geq 0\) and \(g(L)=q(X)+1\). Zbl 0927.14004 Fukuma, Yoshiaki 1 1998 A lower bound for \(K_XL^2\) of polarized 3-folds \((X,L)\) of general type. Zbl 1056.14073 Fukuma, Yoshiaki 1 2002 On ample line bundles which are not spanned on abelian 3-folds. Zbl 1063.14006 Fukuma, Yoshiaki 1 2001 On effective divisors on smooth projective surfaces. Zbl 1085.14502 Fukuma, Yoshiaki 1 2003 On the class of projective surfaces of general type. Zbl 1386.14040 Fukuma, Yoshiaki; Ito, Kazuhisa 1 2017 A classification of polarized surfaces \((X,L)\) with \(\kappa(X)\geq 0,\,\dim \text{Bs}| L|\leq 0,\, g(L)=q(X)+m\), and \(h^0(L)=m+1\). Zbl 1077.14507 Fukuma, Yoshiaki 1 2001 Invariants of ample line bundles on projective varieties and their applications. III. Zbl 1254.14008 Fukuma, Yoshiaki 1 2012 Invariants of ample vector bundles on smooth projective varieties. Zbl 1237.14052 Fukuma, Yoshiaki 1 2011 Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds. Zbl 1271.14012 Fukuma, Yoshiaki 1 2013 On invariants of polynomial functions. Zbl 1096.14033 Fukuma, Yoshiaki 1 2005 Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized \(n\)-folds. Zbl 1309.14006 Fukuma, Yoshiaki 1 2014 On the dimension of the global sections of \(K_X+4L\) for polarized 5-folds \((X, L)\). Zbl 1428.14012 Fukuma, Yoshiaki 1 2019 A property for the formula of the sectional classes of classical scrolls. Zbl 1396.14010 Fukuma, Yoshiaki 1 2017 Classification of bi-polarized 3-folds \((X, L_{1}, L_{2})\) with \(h^{0}(K_{X}+L_{1}+L_{2})=1\). Zbl 1400.14027 Fukuma, Yoshiaki 1 2018 On the dimension of the global sections of the adjoint bundle for polarized 5-folds. Zbl 1491.14012 Fukuma, Yoshiaki 2 2021 On the dimension of the global sections of \(K_X+4L\) for polarized 5-folds \((X, L)\). Zbl 1428.14012 Fukuma, Yoshiaki 1 2019 Classification of bi-polarized 3-folds \((X, L_{1}, L_{2})\) with \(h^{0}(K_{X}+L_{1}+L_{2})=1\). Zbl 1400.14027 Fukuma, Yoshiaki 1 2018 On the dimension of \(H^0(K_X+mL)\) of polarized \(n\)-folds \((X,L)\) with \(m\geq n\). Zbl 1366.14010 Fukuma, Yoshiaki 5 2017 Second sectional classes of polarized three-folds. Zbl 1391.14014 Fukuma, Yoshiaki 2 2017 On the class of projective surfaces of general type. Zbl 1386.14040 Fukuma, Yoshiaki; Ito, Kazuhisa 1 2017 A property for the formula of the sectional classes of classical scrolls. Zbl 1396.14010 Fukuma, Yoshiaki 1 2017 On polarized 4-folds \((X,L)\) with \(h^0(K_X + 3L)=1\). Zbl 1327.14039 Fukuma, Yoshiaki 4 2016 A note on a result of Lanteri about the class of a polarized surface. Zbl 1341.14003 Fukuma, Yoshiaki 2 2016 On a conjecture of Beltrametti-Sommese for polarized 4-folds. Zbl 1327.14038 Fukuma, Yoshiaki 8 2015 Sectional class of ample line bundles on smooth projective varieties. Zbl 1346.14018 Fukuma, Yoshiaki 2 2015 On classification of polarized 3-folds \((X,L)\) with \(h^0(K_X+2L)=2\). Zbl 1296.14005 Fukuma, Yoshiaki 4 2014 Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized \(n\)-folds. Zbl 1309.14006 Fukuma, Yoshiaki 1 2014 Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds. Zbl 1271.14012 Fukuma, Yoshiaki 1 2013 Invariants of ample line bundles on projective varieties and their applications. III. Zbl 1254.14008 Fukuma, Yoshiaki 1 2012 On quasi-polarized manifolds whose sectional genus is equal to the irregularity. Zbl 1230.14055 Fukuma, Yoshiaki 3 2011 Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds. Zbl 1200.14019 Fukuma, Yoshiaki 3 2011 A study on the dimension of global sections of adjoint bundles for polarized manifolds. II. Zbl 1225.14007 Fukuma, Yoshiaki 2 2011 A lower bound for the second sectional geometric genus of quasi-polarized manifolds and its applications. Zbl 1244.14027 Fukuma, Yoshiaki 2 2011 Invariants of ample vector bundles on smooth projective varieties. Zbl 1237.14052 Fukuma, Yoshiaki 1 2011 Invariants of ample line bundles on projective varieties and their applications. II. Zbl 1206.14019 Fukuma, Yoshiaki 5 2010 Sectional invariants of scroll over a smooth projective variety. Zbl 1173.14040 Fukuma, Yoshiaki 2 2009 A study on the dimension of global sections of adjoint bundles for polarized manifolds. Zbl 1160.14002 Fukuma, Yoshiaki 7 2008 Invariants of ample line bundles on projective varieties and their applications. I. Zbl 1146.14004 Fukuma, Yoshiaki 5 2008 On the sectional geometric genus of multi-polarized manifolds and its application. Zbl 1192.14007 Fukuma, Yoshiaki 3 2008 Addendum to “On the sectional geometric genus of quasi-polarized varieties. I” [Commun. Algebra 32, 1069–1100 (2004)]. Zbl 1145.14302 Fukuma, Yoshiaki 1 2008 A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number. Zbl 1156.14007 Fukuma, Yoshiaki 1 2008 On the dimension of global sections of adjoint bundles for polarized 3-folds and 4-folds. Zbl 1126.14009 Fukuma, Yoshiaki 13 2007 On the sectional invariants of polarized manifolds. Zbl 1106.14003 Fukuma, Yoshiaki 5 2007 On a conjecture of Beltrametti-Sommese for polarized 3-folds. Zbl 1100.14003 Fukuma, Yoshiaki 14 2006 On the second sectional \(H\)-arithmetic genus of polarized manifolds. Zbl 1071.14008 Fukuma, Yoshiaki 12 2005 A lower bound for the second sectional geometric genus of polarized manifolds. Zbl 1079.14012 Fukuma, Yoshiaki 6 2005 A generalization of the \(\Delta\)-genus of quasi-polarized varieties. Zbl 1093.14012 Fukuma, Yoshiaki 2 2005 On invariants of polynomial functions. Zbl 1096.14033 Fukuma, Yoshiaki 1 2005 On the sectional geometric genus of quasi-polarized varieties. I. Zbl 1068.14008 Fukuma, Yoshiaki 22 2004 On the sectional geometric genus of quasi-polarized varieties. II. Zbl 1080.14013 Fukuma, Yoshiaki 8 2004 A formula for the sectional geometric genus of quasi-polarized manifolds by using intersection numbers. Zbl 1064.14010 Fukuma, Yoshiaki 7 2004 On the second sectional geometric genus of quasi-polarized manifolds. Zbl 1070.14010 Fukuma, Yoshiaki 5 2004 Problems on the second sectional invariants of polarized manifolds. Zbl 1059.14066 Fukuma, Yoshiaki 4 2004 On effective divisors on smooth projective surfaces. Zbl 1085.14502 Fukuma, Yoshiaki 1 2003 A lower bound for \(K_XL^2\) of polarized 3-folds \((X,L)\) of general type. Zbl 1056.14073 Fukuma, Yoshiaki 1 2002 On ample line bundles which are not spanned on abelian 3-folds. Zbl 1063.14006 Fukuma, Yoshiaki 1 2001 A classification of polarized surfaces \((X,L)\) with \(\kappa(X)\geq 0,\,\dim \text{Bs}| L|\leq 0,\, g(L)=q(X)+m\), and \(h^0(L)=m+1\). Zbl 1077.14507 Fukuma, Yoshiaki 1 2001 On complex manifolds polarized by an ample line bundle of sectional genus \(q(X)+2\). Zbl 0970.14005 Fukuma, Yoshiaki 3 2000 A generalization of curve genus for ample vector bundles. II. Zbl 1023.14017 Fukuma, Yoshiaki; Ishihara, Hironobu 3 2000 On complex \(n\)-folds polarized by an ample line bundle \(L\) with \(\dim\text{Bs}|L|\leq 0, g(L)=q(X)+m\), and \(h^0(L)\geq n+m\). Zbl 1023.14002 Fukuma, Yoshiaki 3 2000 On sectional genus of quasi-polarized manifolds with non-negative Kodaira dimension. II. Zbl 0967.14007 Fukuma, Yoshiaki 1 2000 On sectional genus of quasi-polarized 3-folds. Zbl 0905.14003 Fukuma, Yoshiaki 8 1999 On \(k\)-very ampleness of tensor products of ample line bundles on abelian surfaces. Zbl 0956.14001 Fukuma, Yoshiaki 1 1999 On the nonemptiness of the adjoint linear system of polarized manifolds. Zbl 0955.14040 Fukuma, Yoshiaki 8 1998 A lower bound for \(K_XL\) of quasi-polarized surfaces \((X,L)\) with non-negative Kodaira dimension. Zbl 0930.14002 Fukuma, Yoshiaki 4 1998 Complex manifolds polarized by an ample and spanned line bundle of sectional genus three. – Appendix. Zbl 0939.14016 Fukuma, Yoshiaki; Ishihara, Hironobu 3 1998 On polarized surfaces \((X,L)\) with \(h^0(L)>0\), \(\kappa(X)\geq 0\) and \(g(L)=q(X)+1\). Zbl 0927.14004 Fukuma, Yoshiaki 1 1998 A lower bound for sectional genus of quasi-polarized manifolds. Zbl 0899.14003 Fukuma, Yoshiaki 18 1997 A lower bound for the sectional genus of quasi-polarized surfaces. Zbl 0897.14008 Fukuma, Yoshiaki 15 1997 On polarized 3-folds \((X,L)\) with \(g(L)=q(X)+1\) and \(h^0(L)\geq 4\). Zbl 0930.14027 Fukuma, Yoshiaki 7 1997 A lower bound for the sectional genus of quasi-polarized surfaces. II. Zbl 1049.14026 Fukuma, Y. 3 1997 On polarized surfaces \((X, L)\) with \(h^ 0 (L)> 0\), \(\kappa (X)= 2\), and \(g(L)= q(X)\). Zbl 0878.14005 Fukuma, Yoshiaki 5 1996 The sectional genus of quasi-polarized manifolds with non-negative Kodaira dimension. Zbl 0870.14001 Fukuma, Yoshiaki 4 1996 all cited Publications top 5 cited Publications all top 5 Cited by 18 Authors 39 Fukuma, Yoshiaki 5 Lanteri, Antonio 3 Höring, Andreas 2 Broustet, Amaël 2 Novelli, Carla 2 Tironi, Andrea Luigi 1 Andreatta, Marco 1 Corrêa Barros, Maurício Jun. 1 Fontanari, Claudio 1 Fu, Baohua 1 Fusi, Davide 1 Jardim, Marcos 1 Kawaguchi, Ryo 1 Kwak, Sijong 1 Noma, Atsushi 1 Nomakuchi, Kentaro 1 Park, Jinhyung 1 Uraki, Atsushi all top 5 Cited in 29 Serials 6 Journal of Pure and Applied Algebra 5 Communications in Algebra 4 Rendiconti del Seminario Matematico della Università di Padova 3 Journal of Algebra 3 Kodai Mathematical Journal 3 Tokyo Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Beiträge zur Algebra und Geometrie 2 Hiroshima Mathematical Journal 2 Advances in Geometry 2 Journal of Algebra and its Applications 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Archiv der Mathematik 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 International Journal of Mathematics 1 Journal of Algebraic Combinatorics 1 Journal of Algebraic Geometry 1 Kyushu Journal of Mathematics 1 Algebra and Discrete Mathematics 1 Science China. Mathematics all top 5 Cited in 7 Fields 52 Algebraic geometry (14-XX) 2 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year