Geometric linear normality for nodal curves on some projective surfaces

F. Flamini; C. Madonna

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 1, page 269-283
  • ISSN: 0392-4041

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Flamini, F., and Madonna, C.. "Geometric linear normality for nodal curves on some projective surfaces." Bollettino dell'Unione Matematica Italiana 4-B.1 (2001): 269-283. <http://eudml.org/doc/194848>.

@article{Flamini2001,
author = {Flamini, F., Madonna, C.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {linearly normal; nodal curves; Bogomolov unstable},
language = {eng},
month = {2},
number = {1},
pages = {269-283},
publisher = {Unione Matematica Italiana},
title = {Geometric linear normality for nodal curves on some projective surfaces},
url = {http://eudml.org/doc/194848},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Flamini, F.
AU - Madonna, C.
TI - Geometric linear normality for nodal curves on some projective surfaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/2//
PB - Unione Matematica Italiana
VL - 4-B
IS - 1
SP - 269
EP - 283
LA - eng
KW - linearly normal; nodal curves; Bogomolov unstable
UR - http://eudml.org/doc/194848
ER -

References

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  1. BARTH, W.- PETERS, C.- VAN DE VEN, A., Compact Complex Surfaces, Springer, Berlin, 1984. Zbl0718.14023MR749574
  2. BOGOMOLOV, F., Holomorphic tensors and vector bundles on projective varities, Math. USSR Isvestija, 13 (1979), 499-555. Zbl0439.14002
  3. CHIANTINI, L.- SERNESI, E., Nodal curves on surfaces of general type, Math. Ann., 307 (1997), 41-56. Zbl0870.14027MR1427674
  4. FLAMINI, F., Families of nodal curves on projective surfaces, Ph.D thesis (1999). Zbl1053.14513
  5. FRIEDMAN, R., Algebraic surfaces and holomorphic vector bundles (UTX), Springer-Verlag, New York, 1998. Zbl0902.14029MR1600388
  6. GREUEL, G. M.- LOSSEN, C.- SHUSTIN, E., New asymptotics in the geometry of equisingular families of curves, Internat. Math. Res. Notices, 13 (1997), 595-611. Zbl0905.14014MR1459626
  7. GRIFFITHS, P.- HARRIS, J., Residues and 0-cycles on algebraic varities, Ann. Math., 108 (1978), 461-505. Zbl0423.14001MR512429
  8. HARTSHORNE, R., Ample Subvarieties of Algebraic Varieties, Springer, 1970. Zbl0208.48901MR282977
  9. HARTSHORNE, R., Algebraic Geometry (GTM, No. 52), Springer-Verlag, New York-Heidelberg, 1977. Zbl0367.14001MR463157
  10. REID, M., Bogomolov's theorem c 1 2 ≤ 4 ⁢ c 2 , Proc. Internat. Symposium on Alg. Geom., Kyoto (1977), 633-643. Zbl0478.14003
  11. SHIFFMAN, B.- SOMMESE, A. J., Vanishing Theorems on Complex Manifolds, Progress in Mathematics-vol. 56, Boston-Basel-Stuttgart, Birkhäuser, 1985. Zbl0578.32055MR782484

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