On quasi-polarized manifolds whose sectional genus is equal to the irregularity

Fukuma, Yoshiaki

Fukuma, Yoshiaki

Rendiconti del Seminario Matematico della Università di Padova, Tome 125 (2011), pp. 107-118.

MR Zbl

@article{RSMUP_2011__125__107_0,
     author = {Fukuma, Yoshiaki},
     title = {On quasi-polarized manifolds whose sectional genus is equal to the irregularity},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {107--118},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {125},
     year = {2011},
     mrnumber = {2866122},
     zbl = {1230.14055},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2011__125__107_0/}
}

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PB  - Seminario Matematico of the University of Padua
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Fukuma, Yoshiaki. On quasi-polarized manifolds whose sectional genus is equal to the irregularity. Rendiconti del Seminario Matematico della Università di Padova, Tome 125 (2011), pp. 107-118. http://www.numdam.org/item/RSMUP_2011__125__107_0/

Bibliographie
Cité par

[1] A. Beauville, L’inegalite $p_{g} \geq 2 q - 4$ pour les surfaces de type général, Bull. Soc. Math. France, 110 (1982), pp. 343-346. | Numdam | MR | Zbl

[2] M. C. Beltrametti - A. J. Sommese, The adjunction theory of complex projective varieties, de Gruyter Expositions in Math. 16, Walter de Gruyter, Berlin, NewYork (1995). | MR | Zbl

[3] J. P. Demaily, Effective bounds for very ample line bundles, Invent. Math., 124 (1996), pp. 243-261. | MR | Zbl

[4] H. Esnault - E. Viehweg, Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields, Composit. Math., 76 (1990), pp. 69-85. | Numdam | MR | Zbl

[5] T. Fujita, On the structure of polarized varieties with $Δ$ -genera zero, J. Fac. Sci. Univ. of Tokyo, 22 (1975), pp. 103-115. | MR | Zbl

[6] T. Fujita, Remarks on quasi-polarized varieties, Nagoya Math. J., 115 (1989), pp. 105-123. | MR | Zbl

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

[8] Y. Fukuma, On polarized surfaces $(X, L)$ with $h^{0} (L) > 0$ , $κ (X) = 2$ , and $g (L) = q (X),$ Trans. Amer. Math. Soc., 348 (1996), pp. 4185-4197. | MR | Zbl

[9] Y. Fukuma, A lower bound for the sectional genus of quasi-polarized surfaces, Geom. Dedicata, 64 (1997), pp. 229-251. | MR | Zbl

[10] Y. Fukuma, A lower bound for sectional genus of quasi-polarized manifolds, J. Math. Soc. Japan, 49 (1997), pp. 339-362. | MR | Zbl

[11] Y. Fukuma, On the nonemptiness of the linear system of polarized manifolds, Canad. Math. Bull., 41 (1998), pp. 267-278. | MR | Zbl

[12] Y. Fukuma, On sectional genus of quasi-polarized $3$ -folds, Trans. Amer. Math. Soc., 351 (1999), pp. 363-377. | MR | Zbl

[13] Y. Fukuma, On the sectional geometric genus of quasi-polarized varieties, II, Manuscripta Math., 113 (2004), pp. 211-237. | MR | Zbl

[14] Y. Fukuma, A lower bound for sectional genus of quasi-polarized manifolds, II, preprint, http://www.math.kochi-u.ac.jp/fukuma/preprint.html | MR | Zbl

[15] A. Höring, On a conjecture of Beltrametti and Sommese, arXiv:0912.1295, to appear in J. Algebraic Geom. | Zbl

[16] A. Höring, The sectional genus of quasi-polarised varieties, Arch. Math., 95 (2010), pp. 125-133. | MR | Zbl

[17] A. J. Sommese, On the adjunction theoretic structure of projective varieties, Complex analysis and algebraic geometry (Göttingen, 1985), pp. 175-213, Lecture Notes in Math., 1194 (Springer, Berlin, 1986). | MR | Zbl