・On polarized surfaces (X,L) with h0(L)>0,κ(X)=2, and g(L)=q(X), Trans. Amer. Math. Soc. 348 (1996) 4185-4197.

On sectional genus of quasi-polarized manifolds with nonnegative Kodaira dimension, Math. Nachr. 180 (1996) 75-84.      

A lower bound for the sectional genus of quasi-polarized surfaces, Geometriae Dedicata 64 (1997) 229-251

・A lower bound for the sectional genus of quasi-polarized surfaces II, Rend. Sem. Mat. Univ. Pol. Torino 55 (1997) 189-202.


・A lower bound for sectional genus of quasi-polarized manifolds, J. Math. Soc. Japan 49 (1997) 339-362.

On relative Kodaira energy of quasi-polarized fibre spaces and its application, Math. Proc. Camb. Phil. Soc. 122 (1997) 503-513.

・On polarized 3-folds (X,L) with g(L)=q(X)+1and h0(L)4, Ark. Mat. 35 (1997) 299-311.

On polarized surfaces (X,L) with h0(L)>0,κ(X)0, and g(L)=q(X)+1, Geometriae Dedicata 69 (1998) 189-206.

On the nonemptiness of the adjoint linear system of polarized manifolds, Canad. Math. Bulletin 41 (1998) 267-278.

・(with H. Ishihara) Complex manifolds polarized by an ample and spanned line bundle of sectional genus three, Arch. Math. 71 (1998) 159-168.

・On sectional genus of k-very ample line bundles on smooth surfaces with non-negative Kodaira dimension, Kodai Math. J. 21 (1998) 153-178.

・A lower bound for KX L of quasi-polarized surfaces (X,L) with non-negative Kodaira dimension, Canadian. J. Math 50 (1998) 1209-1235.

・On sectional genus of quasi-polarized 3-folds, Trans. Amer. Math. Soc. 351 (1999) 363-377.

・On quasi-polarized surfaces of general type whose sectional genus is equal to the irregularity, Geometriae Dedicata 74 (1999) 37-47

・On k-very ampleness of tensor products of ample line bundles on abelian surfaces, Rendiconti del Seminario Matematico dell’Universita di Padova 101 (1999) 209-227.

・On sectional genus of quasi-polarized manifolds (X,L) with h0(L)=1, Kyushu J. Math. 53 (1999) 431-448.

On sectional genus of quasi-polarized manifolds with nonnegative Kodaira dimension, II, Kodai Math. J. 23 (2000) 136-149.

(with H. Ishihara) A generalization of curve genus for ample vector bundles, II, Pacific J. Math. 193 (2000) 307-326.

・On complex manifolds polarized by an ample line bundle of sectional genus q(X)+2, Mathematische Zeitschrift 234 (2000) 573-604.

・A note on tensor products of ample line bundles on abelian varieties, Proc. Amer. Math. Soc. 128 (2000) 2513-2516.

・On complex n-folds polarized by an ample line bundle L with dim Bs|L|0, g(L)=q(X)+m, and h0(L)n+m, Communications in Algebra 28 (2000) 5769-5782.

・On ample line bundles which are not spanned on Abelian 3-folds, Math. Nachr. 224 (2001) 105-121.

・A lower bound for (KX+tL)Ln-1 of quasi-polarized manifolds (X,L) withκ(KX+tL)0, Journal of Algebra 239 No.2 (2001) 624-646.

・A classification of polarized surfaces (X,L) with κ(X) 0, dim Bs|L|0, g(L)=q(X)+m, and h0 (L)=m+1, Kodai Mathematical Journal 24 No.2 (2001), 285-304.

A lower bound for KXL2 of polarized 3-folds (X,L) of general type, Kyushu Journal of Mathematics 56 No.1 (2002) 203-219.

On effective divisors on smooth projective surfaces, Kodai Math. J. 26 No.1 (2003), 26-43.

・Polarized surfaces (X,L) with g(L)=q(X)+m and h0(L)m+2, Rendiconti del Seminario Matematico dell’Universita di Padova 109 (2003), 13-39.


・On polarized surfaces (X,L) with h0 (L) 2, κ(X) 0, and g(L)=q(X)+1, Hokkaido Math. J. 32 No.3 (2003), 539-549.

On the Cr-sectional geometric genus of generalized polarized manifolds, Japanese J. Math. 29 No. 2 (2003), 335-355.

・On the sectional geometric genus of quasi-polarized varieties, I, Comm. Alg. 32 No.3 (2004), 1069-1100

・On the second sectional geometric genus of quasi-polarized manifolds, Adv. Geom. 4  Issue 2 (2004), 215-239.

・On the sectional geometric genus of quasi-polarized varieties, II, Manuscripta Math. 113 No.2 (2004) 211-237.

・A formula for the sectional geometric genus of quasi-polarized manifolds by using intersection numbers, Journal of Pure and Applied Algebra, 194 Issue 1-2 (2004) 113-126.

・On the second sectional H-arithmetic genus of polarized manifolds, Math. Z. 250 No. 3 (2005) 573-597.

A lower bound for the second sectional geometric genus of polarized manifolds, Adv. Geom., 5  Issue 3 (2005) 431-454.

・A generalization of the-genus of quasi-polarized varieties, J. Math. Soc. Japan 57 No.4 (2005) 1003-1044

・On invariants of polynomial functions, Japanese J. Math. 31 No.2 (2005) 345-378.


・On a conjecture of Beltrametti-Sommese for polarized 3-folds, Int. J. Math. 17 No.7 (2006) 761-789.

On the sectional invariants of polarized manifolds, Journal of Pure and Applied Algebra, 209 Issue 1 (2007) 99-117.

・On the dimension of global sections of adjoint bundles for polarized 3-folds and 4-folds, Journal of Pure and Applied Algebra, 211 Issue 3 (2007) 609-621.


・Invariants of ample line bundles on projective varieties and their applications, I, Kodai Mathematical Journal 31, No.2 (2008) 219-256.

・Addendum to "On the sectional geometric genus of quasi-polarized varieties, I", Comm. Alg. 32 pp. 1069-1100, 2004, Communications in Algebra 36 Issue 9 (2008) 3250-3252

・A study on the dimension of global sections of adjoint bundles for polarized manifolds, Journal of Algebra 320 (2008), 3543-3558.


On the sectional geometric genus of multi-polarized manifolds and its application, RIMS Kokyuroku Bessatsu B9 (2008), 97-113.

・A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number, Adv. Geom. 8 (2008), 591-614.

・Sectional invariants of scrolls over a smooth projective variety, Rend. Semin. Mat. Univ. Padova 121 (2009), 93-119.

・A note on non-negativity of the ith -genus of quasi-polarized varieties, Kyushu J. Math. 64 (2010), 17-34.

Sectional invariants of hyperquadric fibrations over a smooth projective curve (joint work with K. Nomakuchi and A. Uraki), Tokyo J. Math. 33 (2010), 49-63.


・Invariants of ample line bundles on projective varieties and their applications, II, Kodai Mathematical Journal 33, No.3 (2010) 416-445.

・A note on quasi-polarized surfaces of general type whose sectional genus is equal to the irregularity, Le Matematische 65 (2010), 155-161.


Effecive non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds, Journal of Pure and Applied Algebra 215 (2011), 168-184.

On quasi-polarized manifolds whose sectional genus is equal to the irregularities, Rend. Semin. Mat. Univ. Padova, 125 (2011), 107-117.

・A study on the dimension of global sections of adjoint bundles for polarized manifolds, II, Hokkaido Math. J. 40 (2011), 251-277.


A lower bound for the second sectional geometric genus of quasi-polarized manifolds and its applications, Rend. Sem. Mat. Univ. Politec. Torino 69, no.1 (2011), 73-90.

Invariants of ample vector bundles on smooth projective varieties, Riv. Mat. Univ. Parma, Vol. 2 (2011), 273-297..

A numerical characterization of polarized manifolds (X,L) with KX=-(n-i)L by the ith sectional geometric genus and the ith Δ-genus, Publ. Res. Inst. Math. Sci. 48 (2012), 83-106.

Topics on invariants of polarized varieties, Sugaku Expositions 25 (2012), pp. 19-45.

Invariants of ample line bundles on projective varieties and their applications, III, Kodai Mathematical Journal 35, No.2 (2012) 320-344.

Effecive non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds, Journal of Pure and Applied Algebra 217 (2013), 1535-1547.

Classification of polarized manifolds by the second sectional Betti number, Hokkaido Math. J. 42 (2013), 463-472.

Classification of polarized manifolds by the second sectional Betti number, II, Rend. Istit. Mat. Univ. Trieste 45 (2013), 47-66.



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