$D$-dimensions of algebraic surfaces and numerically effective divisors
Compositio Mathematica, Volume 48 (1983) no. 1, pp. 101-118.
@article{CM_1983__48_1_101_0,
author = {Sakai, Fumio},
title = {$D$-dimensions of algebraic surfaces and numerically effective divisors},
journal = {Compositio Mathematica},
pages = {101--118},
publisher = {Martinus Nijhoff Publishers},
volume = {48},
number = {1},
year = {1983},
zbl = {0509.14038},
mrnumber = {700582},
language = {en},
url = {http://archive.numdam.org/item/CM_1983__48_1_101_0/}
}
TY  - JOUR
AU  - Sakai, Fumio
TI  - $D$-dimensions of algebraic surfaces and numerically effective divisors
JO  - Compositio Mathematica
PY  - 1983
DA  - 1983///
SP  - 101
EP  - 118
VL  - 48
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1983__48_1_101_0/
UR  - https://zbmath.org/?q=an%3A0509.14038
UR  - https://www.ams.org/mathscinet-getitem?mr=700582
LA  - en
ID  - CM_1983__48_1_101_0
ER  - 
%0 Journal Article
%A Sakai, Fumio
%T $D$-dimensions of algebraic surfaces and numerically effective divisors
%J Compositio Mathematica
%D 1983
%P 101-118
%V 48
%N 1
%I Martinus Nijhoff Publishers
%G en
%F CM_1983__48_1_101_0
Sakai, Fumio. $D$-dimensions of algebraic surfaces and numerically effective divisors. Compositio Mathematica, Volume 48 (1983) no. 1, pp. 101-118. http://archive.numdam.org/item/CM_1983__48_1_101_0/

[1] M. Artin and G. Winters: Degenerate fibres and stable reduction of curves. Topology 10 (1971) 373-383. | MR | Zbl

[2] E. Bombieri and Mumford: Enriques' classification of surfaces in char. p. II, III. Complex Analysis and Algebraic Geometry. Iwanami and Cambridge Univ. Press, Tokyo and Cambridge (1977) 207-217, Inventiones math. 36 (1976) 197-232. | MR | Zbl

[3] M. Demazure: Anneaux gradués normaux. Séminaire sur les singularités des surfaces. Ecole Polytechnique 1979.

[4] T. Fujita: On Zariski problem. Proc. Japan Acad. 55, Ser. A (1979) 106-110. | MR | Zbl

[5] S. Iitaka: On D-dimensions of algebraic varieties. J. Math. Soc. Japan 23 (1971) 356-373. | MR | Zbl

[6] Y. Kawamata: Addition formula of logarithmic Kodaira dimensions for morphisms of relative dimension one. Int. Symp. Algebraic Geometry Kyoto 1977. Kinokuniya, Tokyo (1978) 207-217. | MR | Zbl

[7] Y. Kawamata: On classification of non-complete algebraic surfaces. Lecture Notes in Mathematics 732. Springer; Berlin, Heidelberg, New York (1979) 215-232. | MR | Zbl

[8] S.L. Kieiman: Toward a numerical theory of ampleness. Ann. of Math. 84 (1966) 293-344. | MR | Zbl

[9] M. Miyanishi: On Non-complete Algebraic Surfaces. Lecture Notes in Mathematics 857. Springer; Berlin, Heidelberg, New York, 1981. | Zbl

[10] D. Mumford: Enriques classification of surfaces in char. p. I. Global Analysis. Tokyo Univ. Press and Princeton Univ. Press, Tokyo and Princeton (1969) 325-339. | MR | Zbl

[11] F. Sakai: Semi-stable curves on algebraic surfaces and logarithmic pluricanonical maps. Math. Ann. 254 (1980) 89-120. | MR | Zbl

[12] F. Sakai: Curves with trivial dualizing sheaf on algebraic surfaces. (To appear in Amer. J. Math.) | MR | Zbl

[13] F. Sakai: Enriques classification of normal Gorenstein surfaces. (To appear in Amer. J. Math.) | MR | Zbl

[14] F. Sakai: Anti-Kodaira dimension of ruled surfaces. Sci. Rep. Saitama Univ. 10 (1982) 1-7. | MR | Zbl

[15] O. Zariski: The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Ann. of Math. 76 (1962) 560-615. | MR | Zbl