Polarized surfaces ( X , L ) with g ( L ) = q ( X ) + m and h 0 ( L ) ≥ m + 2

Yoshiaki Fukuma

Rendiconti del Seminario Matematico della Università di Padova (2003)

  • Volume: 109, page 13-39
  • ISSN: 0041-8994

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Fukuma, Yoshiaki. "Polarized surfaces $(X,L)$ with $g(L)=q(X)+m$ and $h^0(L)\ge m+2$." Rendiconti del Seminario Matematico della Università di Padova 109 (2003): 13-39. <http://eudml.org/doc/108598>.

@article{Fukuma2003,
author = {Fukuma, Yoshiaki},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {polarized surface; sectional genus; irregularity; Fujita's conjecture},
language = {eng},
pages = {13-39},
publisher = {Seminario Matematico of the University of Padua},
title = {Polarized surfaces $(X,L)$ with $g(L)=q(X)+m$ and $h^0(L)\ge m+2$},
url = {http://eudml.org/doc/108598},
volume = {109},
year = {2003},
}

TY - JOUR
AU - Fukuma, Yoshiaki
TI - Polarized surfaces $(X,L)$ with $g(L)=q(X)+m$ and $h^0(L)\ge m+2$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2003
PB - Seminario Matematico of the University of Padua
VL - 109
SP - 13
EP - 39
LA - eng
KW - polarized surface; sectional genus; irregularity; Fujita's conjecture
UR - http://eudml.org/doc/108598
ER -

References

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  2. [Fj1] T. FUJITA, On hyperelliptic polarized varieties, Tôhoku Math. J., 35 (1983), pp. 1-44. Zbl0494.14003MR695657
  3. [Fj2] T. FUJITA, Remarks on quasi-polarized varieties, Nagoya Math. J., 115 (1989), pp. 105-123. Zbl0699.14002MR1018086
  4. [Fj3] T. FUJITA, Classification Theories of Polarized Varieties, London Math. Soc. Lecture Note Series, 155, 1990. Zbl0743.14004MR1162108
  5. [Fk1] Y. FUKUMA, A lower bound for the sectional genus of quasi-polarized surfaces, Geometriae Dedicata, 64 (1997), 229-251. Zbl0897.14008MR1436766
  6. [Fk2] Y. FUKUMA, A lower bound for the sectional genus of quasi-polarized surfaces, II, Rend. Sem. Mat. Univ. Pol. Torino, 55 (1997), pp. 189-202. Zbl1049.14026MR1685737
  7. [Fk3] Y. FUKUMA, A lower bound for sectional genus of quasi-polarized manifolds, J. Math. Soc. Japan, 49 (1997), pp. 339-362. Zbl0899.14003MR1601389
  8. [Fk4] Y. FUKUMA, On polarized 3-folds (X, L) with g(L) 4q(X)11 and h0 (L) F4, Ark. Mat., 35 (1997); pp. 299-311. Zbl0930.14027MR1478782
  9. [Fk5] Y. FUKUMA, On the nonemptiness of the adjoint linear system of polarized manifolds, Canad. Math. Bull., 41 (1998), pp. 267-278. Zbl0955.14040MR1637645
  10. [Fk6] Y. FUKUMA, A lower bound for KX L of quasi-polarized surfaces (X, L) with non-negative Kodaira dimension, Canad. J. Math., 50 (1998), pp. 1209-1235. Zbl0930.14002MR1657783
  11. [Fk7] Y. FUKUMA, On sectional genus of quasi-polarized 3-folds, Trans. Amer. Math. Soc., 351 (1999), pp. 363-377. Zbl0905.14003MR1487615
  12. [Fk8] Y. FUKUMA, On complex manifolds polarized by an ample line bundle of sectional genus q(X)12, Math. Z., 234 (2000), pp. 573-604. Zbl0970.14005MR1774098
  13. [Fk9] Y. FUKUMA, On complex n-folds polarized by an ample line bundle L with dim BsNLNG0, g(L) 4q(X)1m, and h0 (L) Fn1m, Comm. Algebra, 28 (2000), pp. 5769-5782. Zbl1023.14002MR1808603
  14. [Ha] R. HARTSHORNE, Algebraic Geometry, Graduate Texts in Mathematics, 52, Springer, 1977. Zbl0367.14001MR463157
  15. [Se1] F. SERRANO, The Picard group of a quasi-bundle, Manuscripta Math., 73 (1991), pp. 63-82. Zbl0758.14006MR1124311
  16. [Se2] F. SERRANO, Elliptic surfaces with an ample divisor of genus 2, Pacific J. Math., 152 (1992), pp. 187-199. Zbl0756.14026MR1139981

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