Threefolds of non negative Kodaira dimension with sectional genus less than or equal to 15

Elvira Laura Livorni; Andrew John Sommese

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 4, page 537-558
  • ISSN: 0391-173X

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Livorni, Elvira Laura, and Sommese, Andrew John. "Threefolds of non negative Kodaira dimension with sectional genus less than or equal to 15." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.4 (1986): 537-558. <http://eudml.org/doc/83990>.

@article{Livorni1986,
author = {Livorni, Elvira Laura, Sommese, Andrew John},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {non-negative Kodaira dimension; numerical invariants; sectional genus; minimal surface; threefold},
language = {eng},
number = {4},
pages = {537-558},
publisher = {Scuola normale superiore},
title = {Threefolds of non negative Kodaira dimension with sectional genus less than or equal to 15},
url = {http://eudml.org/doc/83990},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Livorni, Elvira Laura
AU - Sommese, Andrew John
TI - Threefolds of non negative Kodaira dimension with sectional genus less than or equal to 15
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 4
SP - 537
EP - 558
LA - eng
KW - non-negative Kodaira dimension; numerical invariants; sectional genus; minimal surface; threefold
UR - http://eudml.org/doc/83990
ER -

References

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  1. [B] H.F. Baker, Principles of Geometry, vol. V, Cambridge, 1933. Zbl0008.21906JFM59.0620.04
  2. [Ba-P-V] W. Barth - C. Peters - A. Van De Ven, Compact Complex Surfaces, Springer-Verlag, Berlin - Heidelberg - New York (1984). Zbl0718.14023MR749574
  3. [Ba] W. Barth, Larsen's theorem on homotopy groups of projective manifolds Of small embedding codimension, Proc. Sympos. Pure Math., 29 (1975), pp. 307-313. Zbl0309.14017MR377123
  4. [F] W. Fulton, Intersection Theory, Springer-Verlag, Berlin - Heidelberg - New York (1984). Zbl0541.14005MR732620
  5. [Gr-H] P.A. Griffiths - J. Harris, Residues and zero cycles on algebraic varieties, Ann. of Math., 108 (1978), pp. 461-505. Zbl0423.14001MR512429
  6. [Be] A. Beauville, Variétés kähleriennes dont la première classe de Chern est nulle, J. Differential Geom., 18 (1983), pp. 755-782. Zbl0537.53056MR730926
  7. [Hal] R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math.156, Berlin - Heidelberg - New York (1970). Zbl0208.48901MR282977
  8. [Ha2] R. Hartshorne, Algebraic Geometry, Springer-Verlag, Berlin - Heidelberg- New York (1977). Zbl0367.14001MR463157
  9. [Ho-Sc] A. Holme - M. Schneider, A computer aided approach to codimension 2 subvarieties of Pn, n ≽ 6, preprint. 
  10. [K] Y. Kawamata, A generalization of Kodaira-Ramanujam's vanishing theorem, Math. Ann., 261 (1982), pp. 43-46. Zbl0476.14007MR675204
  11. [R] M. Reid, Canonical 3-folds, « Algebraic Geometry», ed. by A. Beauville, Siythoff & Noordholf, Netherlands (1980). Zbl0451.14014MR605348
  12. [Sh-So] B. Shiffman - A.J. Sommese, Vanishing theorems on complex manifolds, to appear in Progr. Math., Birkhauser. Zbl0578.32055MR782484
  13. [So1] A.J. Sommese, Complex subspaces of homogeneous complex manifolds.- II: Homotopy results, Nagoya Math. J., 86 (1982), pp. 101-129. Zbl0497.32026MR661221
  14. [So2] A.J. Sommese, Hyperplane sections of projective surfaces. - I : The adjunction mapping, Duke Math. J., 46 (1979), pp. 377-401. Zbl0415.14019MR534057
  15. [So3] A.J. Sommese, On the minimality of hyperplane sections of projective threefolds, J. Reine Angew. Math., 329 (1981), pp. 16-41. Zbl0509.14044MR636441
  16. [V] E. Viehweg, Vanishing theorems, J. Reine Angew. Math., 355 (1982),. pp. 1-8. Zbl0485.32019MR667459

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