@article{CM_1990__76_1-2_69_0, author = {Esnault, H\'el\`ene and Viehweg, Eckart}, title = {Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields}, journal = {Compositio Mathematica}, pages = {69--85}, publisher = {Kluwer Academic Publishers}, volume = {76}, number = {1-2}, year = {1990}, mrnumber = {1078858}, zbl = {0742.14020}, language = {en}, url = {http://www.numdam.org/item/CM_1990__76_1-2_69_0/} }
TY - JOUR AU - Esnault, Hélène AU - Viehweg, Eckart TI - Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields JO - Compositio Mathematica PY - 1990 SP - 69 EP - 85 VL - 76 IS - 1-2 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1990__76_1-2_69_0/ LA - en ID - CM_1990__76_1-2_69_0 ER -
%0 Journal Article %A Esnault, Hélène %A Viehweg, Eckart %T Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields %J Compositio Mathematica %D 1990 %P 69-85 %V 76 %N 1-2 %I Kluwer Academic Publishers %U http://www.numdam.org/item/CM_1990__76_1-2_69_0/ %G en %F CM_1990__76_1-2_69_0
Esnault, Hélène; Viehweg, Eckart. Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields. Compositio Mathematica, Tome 76 (1990) no. 1-2, pp. 69-85. http://www.numdam.org/item/CM_1990__76_1-2_69_0/
1 Dyson's lemma for polynomials in several variables (and the theorem of Roth). Invent. Math. 78 (1984) 445-490. | MR | Zbl
and ,2 Logarithmic De Rham complexes and vanishing theorems. Invent. Math. 86 (1986) 161-194. | MR | Zbl
and ,3 On Kähler fibre spaces over curves. J. Math. Soc. Japan 30 (1978) 779-794. | MR | Zbl
,4 Mordell's Vermutung über rationale Punkte auf algebraischen Kurven und Funktionenkörper. Publ. Math. IHES 25 (1965) 131-149. | Numdam | MR | Zbl
,5 A generalization of Kodaira-Ramanujam's vanishing theorem. Math. Ann. 261 (1982) 57-71. | Zbl
,6 Rational points on an algebraic curve over function fields. Trans. Amer. Math. Soc. 50 (1966) 189-234. | Zbl
,7 Classification of higher-dimensional varieties. Algebraic Geometry. Bowdoin 1985. Proc. of Symp. in Pure Math. 46 (1987) 269-331. | MR | Zbl
,8 Algebraic curves over function fields I. Math. USSR Izv. 2 (1968) 1145-1170. | Zbl
,9 Séminaire sur les pinceaux de courbes de genre au moins deux. Astérisque 86 (1981). | Numdam | MR | Zbl
,10 Vanishing theorems. J. Reine Angew. Math. 335 (1982) 1-8. | MR | Zbl
,11 Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces. Adv. Stud. Pure Math. 1 (1983) 329-353 North-Holland. | MR | Zbl
,12 Vanishing theorems and positivity in algebraic fibre spaces. Proc. Intern. Congr. Math., Berkeley 1986, 682-687. | MR | Zbl
,13 Weak positivity and the stability of certain Hilbert points. Invent. Math. 96 (1989) 639-667. | MR | Zbl
,14 Mordell's conjecture over function fields. Preprint 1988. | Zbl
,15 Algebraic curves over function fields. Soviet Math. Dokl. 9 (1968) 1419-1422. | Zbl
,