Sectional invariants of scroll over a smooth projective variety
Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 93-119. 
@article{RSMUP_2009__121__93_0,
     author = {Fukuma, Yoshiaki},
     title = {Sectional invariants of scroll over a smooth projective variety},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {93--119},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {121},
     year = {2009},
     mrnumber = {2542136},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2009__121__93_0/}
}
TY  - JOUR
AU  - Fukuma, Yoshiaki
TI  - Sectional invariants of scroll over a smooth projective variety
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2009
SP  - 93
EP  - 119
VL  - 121
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_2009__121__93_0/
LA  - en
ID  - RSMUP_2009__121__93_0
ER  - 
%0 Journal Article
%A Fukuma, Yoshiaki
%T Sectional invariants of scroll over a smooth projective variety
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2009
%P 93-119
%V 121
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_2009__121__93_0/
%G en
%F RSMUP_2009__121__93_0
Fukuma, Yoshiaki. Sectional invariants of scroll over a smooth projective variety. Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 93-119. http://archive.numdam.org/item/RSMUP_2009__121__93_0/

[1] E. Ballico, On vector bundles on 3-folds with sectional genus 1, Trans. Amer. Math. Soc., 324 (1991), pp. 135-147. | MR | Zbl

[2] T. Fujita, Ample vector bundles of small c1-sectional genera, J. Math. Kyoto Univ., 29 (1989), pp. 1-16. | MR | Zbl

[3] T. Fujita, Classification Theories of Polarized Varieties, London Math. Soc. Lecture Note Ser. 155, Cambridge University Press, (1990). | MR | Zbl

[4] T. Fujita, On adjoint bundles of ample vector bundles, Complex algebraic varieties (Bayreuth, 1990), pp. 105-112, Lecture Notes in Math., 1507, Springer, Berlin, 1992. | MR | Zbl

[5] Y. Fukuma, On the sectional geometric genus of quasi-polarized varieties, I, Comm. Alg., 32 (2004), pp. 1069-1100. | MR | Zbl

[6] Y. Fukuma, Problems on the second sectional invariants of polarized manifolds, Mem. Fac. Sci. Kochi Univ. Ser. A Math., 25 (2004), pp. 55-64. | MR | Zbl

[7] Y. Fukuma, On the second sectional H-arithmetic genus of polarized manifolds, Math. Z., 250 (2005), pp. 573-597. | MR | Zbl

[8] Y. Fukuma, On the sectional invariants of polarized manifolds, J. Pure Appl. Alg., 209 (2007), pp. 99-117. | MR | Zbl

[9] Y. Fukuma - H. Ishihara, A generalization of curve genus for ample vector bundles, II, Pacific J. Math., 193 (2000), pp. 307-326. | MR | Zbl

[10] W. Fulton, Intersection Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, 2 (1984), Springer-Verlag. | MR | Zbl

[11] D. Fusi - A. Lanteri, Ample vector bundles with small g - q, Comm. Alg., 34 (2006), pp. 2989-3008. | MR | Zbl

[12] F. Hirzebruch, Topological methods in algebraic geometry, Grundlehren der mathematischen Wissenschaften, 131 Springer-Verlag, 1966. | MR | Zbl

[13] P. Ionescu, Embedded projective varieties of small invariants, in Proceedings of the Week of Algebraic Geometry, Bucharest 1982, Lecture Notes in Math., 1056 (1984), pp. 142-186. | MR | Zbl

[14] P. Ionescu, Embedded projective varieties of small invariants, II, Rev. Roumanie Math. Puves Appl., 31 (1986), pp. 539-544. | MR | Zbl

[15] P. Ionescu, Embedded projective varieties of small invariants, III, in Algebraic Geometry, Proceedings of Conference on Hyperplane Sections, L'Aquila, Italy, 1988 Lecture Notes in Math., 1417 (1990), pp. 138-154. | MR | Zbl

[16] H. Ishihara, A generalization of curve genus for ample vector bundles, I, Comm. Alg., 27 (1999), pp. 4327-4335. | MR | Zbl

[17] A. Lanteri - H. Maeda - A. J. Sommese, Ample and spanned vector bundles of minimal curve genus, Arch. Math., 66 (1996), pp. 141-149. | MR | Zbl

[18] A. Lanteri - D. Struppa, Projective manifolds whose topology is strongly reflected in their hyperplane sections, Geom. Dedicata, 21 (1986) pp. 357-374. | MR | Zbl

[19] H. Maeda, Ample vector bundles of small curve genera, Arch. Math., 70 (1998) pp. 239-243. | MR | Zbl

[20] T. Peternell - M. Szurek - J. A. Wiśniewski, Fano manifolds and vector bundles, Math. Ann., 294 (1992) pp. 151-165. | MR | Zbl

[21] J. A. Wiśniewski, Length of extremal rays and generalized adjunction, Math. Z., 200 (1989), pp. 409-427. | MR | Zbl

[22] Y. G. Ye - Q. Zhang, On ample vector bundles whose adjoint bundles are not numerically effective, Duke Math. J., 60 (1990) pp. 671-687. | MR | Zbl