Abundance conjecture for 3-folds : case ν = 1

Yoichi Miyaoka

Compositio Mathematica (1988)

  • Volume: 68, Issue: 2, page 203-220
  • ISSN: 0010-437X

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Miyaoka, Yoichi. "Abundance conjecture for 3-folds : case $\nu = 1$." Compositio Mathematica 68.2 (1988): 203-220. <http://eudml.org/doc/89935>.

@article{Miyaoka1988,
author = {Miyaoka, Yoichi},
journal = {Compositio Mathematica},
keywords = {Kodaira dimension; nef canonical divisor; minimal 3-fold; fundamental theorem of the classification of surfaces},
language = {eng},
number = {2},
pages = {203-220},
publisher = {Kluwer Academic Publishers},
title = {Abundance conjecture for 3-folds : case $\nu = 1$},
url = {http://eudml.org/doc/89935},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Miyaoka, Yoichi
TI - Abundance conjecture for 3-folds : case $\nu = 1$
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 68
IS - 2
SP - 203
EP - 220
LA - eng
KW - Kodaira dimension; nef canonical divisor; minimal 3-fold; fundamental theorem of the classification of surfaces
UR - http://eudml.org/doc/89935
ER -

References

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  1. [F] R. Friedman: Global smoothings of varieties with normal crossings, Annals of Math.118 (1983) 75-114. Zbl0569.14002MR707162
  2. [FM] R. Friedman and D. Morrison: The Birational Geometry of Degenerations. Birkhäuser, Boston- Basel-Stuttgart (1983). Zbl0493.00005MR690261
  3. [Kw] Y. Kawamata: Pluricanonical systems on minimal algebraic varieties, Inv. Math.79 (1985) 567-588. Zbl0593.14010MR782236
  4. [KKMS] G. Kempf, F. Knudsen, D. Mumford and B. Saint-Donat: Toroidal embeddings I, Lect. Notes in Math.339, Springer, Berlin -Heidelberg -New York (1973). Zbl0271.14017MR335518
  5. [Kl] V.S. Kulikov: Degeneration of K3 and Enriques surfaces, Math. USSR Izvestija11 (1977) 957-989. Zbl0387.14007
  6. [Ml] J. Milnor: Singular points of complex hypersurfaces, Annals of Math. Studies61, Princeton Univ. Press, Princeton (1968). Zbl0184.48405MR239612
  7. [My] Y. Miyaoka: Kodaira dimension of a minimal 3-fold, submitted to Math. Ann. 
  8. [Mr] S. Mori: Flip theorem and the existence of minimal models for 3-folds, preprint. Zbl0649.14023MR924704
  9. [PP] U. Persson and H. Pinkham: Degeneration of surfaces with trivial canonical bundle, Ann. of Math.113 (1981) 45-66. Zbl0426.14015MR604042

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