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Dyson's Lemma and a Theorem of Esnault and Viehweg

Dyson's Lemma and a Theorem of Esnault and Viehweg

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References[B1] E. Bombieri, On the Thue-Siegel-Dyson theorem, Acta Math., 148, 1982, pp. 255-296.[B2]E. Bombieri, The Mordell Conjecture revisited, Ann. Sc. Norm. Sup. Pisa, Cl. Sci.,IV, 17, 1991, pp. 615-640.[EV1] H. <strong>Esnault</strong> <strong>and</strong> E. <strong>Viehweg</strong>, Dyson’s <strong>Lemma</strong> for polynomials in several variables (<strong>and</strong>the <strong>Theorem</strong> <strong>of</strong> Roth), Inv. Math., 78, 1984, pp. 445-490.[EV2] H. <strong>Esnault</strong> <strong>and</strong> E. <strong>Viehweg</strong>, Effective bounds for semipositive sheaves <strong>and</strong> for theheight <strong>of</strong> points on curves over function fields, Compos. Math., 76, 1990, pp. 69-85.[EV3] H. <strong>Esnault</strong> <strong>and</strong> E. <strong>Viehweg</strong>, Ample Sheaves on Moduli Schemes, In: Proc. <strong>of</strong> theconference on algebraic <strong>and</strong> analytic geometry, Tokyo, 1990, to appear.[EV4] H. <strong>Esnault</strong> <strong>and</strong> E. <strong>Viehweg</strong>, Lectures on Vanishing <strong>Theorem</strong>s, DMV Seminar B<strong>and</strong>20, Birkhäuser, 1992.[F1] G. Faltings, Diophantine Approximation on Abelian Varieties, Annals <strong>of</strong> Math., 133,1991, pp. 549-576.[F2]G. Faltings, The general case <strong>of</strong> S. Lang’s conjecture, preprint.[Fu] W. Fulton, Intersection Theory, Springer, 1984.[Ha] R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, Vol. 52,Springer, 1977.[H] M. Hindry, Sur les Conjectures de Mordell et Lang, Astérisque, 209, 1992, pp. 39-56.[L] S. Lang, Fundamentals <strong>of</strong> Diophantine Geometry, Springer Verlag, 1983.[V1]P. Vojta, Dyson’s lemma for products <strong>of</strong> two curves <strong>of</strong> arbitrary genus, Inv. Math.,98, 1989, pp. 107-113.[V2] P. Vojta, Mordell’s conjecture over function fields, Inv. Math., 98, 1989, pp. 115-138.[V3] P. Vojta, Siegel’s theorem in the compact case, Annals <strong>of</strong> Math., 133, 1991, pp. 509-548.[V4][V5][V6]P. Vojta, A generalization <strong>of</strong> theorems <strong>of</strong> Faltings <strong>and</strong> Thue-Siegel-Roth-Wirsing,Journal AMS, 4, 1992, pp. 763-804.P. Vojta, Integral points on subvarieties <strong>of</strong> semi-abelian varieties, preprint.P. Vojta, Some applications <strong>of</strong> arithmetic algebraic geometry to diophantine approximations,Proceedings <strong>of</strong> the CIME Conference, Trento, 1991, LNM 1553, Springer,1993.22

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