Diophantine approximations and foliations

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1. [A-S-S] E. ARRONDO, I. SOLS, B. SPEISER, Global Moduli For Contacts, MSRI preprint (1992). 
2. [B-B] P. BAUM, R. BOTT, Singularities Of Holomorphic Foliations, J. Differential Geometry 7 (1972), 279-342. Zbl0268.57011MR51 #14092
3. [B1] F. BOGOMOLOV, Families Of Curves On Surfaces Of General Type, Soviet Math. Dokl. 18 (1977), 1294-1297. Zbl0415.14013MR56 #15655
4. [B2] F. BOGOMOLOV, Holomorphic tensors and vector bundles on projective varieties, Math. USSR Izv. 13 (1978), 499-555. Zbl0439.14002
5. [Bo] E. BOMBIERI, The Mordell Conjecture Revisited, Ann. Scuola Norm. Sup. Pisa Cl. Sci (4) 17 (1990), n° 4, 615-640. Errata-corrigé : The Mordell conjecture revisited, Ann. Scuola Norm. Sup. Pisa Cl. Sci (4) 18 (1991), n° 3, 473. Zbl0722.14010
6. [C] A. CONNES, Non Commutative Geometry, Academic Press, 1994. MR95j:46063
7. [C-M] D. CERVEAU, J.-F. MATTEI, Formes intégrables holomorphes singulières, Astérisque vol. 97 (1982). Zbl0545.32006MR86f:58006
8. [D] M. DESCHAMPS, Courbes de genres géométrique borné sur une surface de type général (d'après F. A. Bogomolov), Séminaire Bourbaki 519 (1977/1978). Zbl0412.14013
9. [De1] J. P. DEMAILLY, Monge-Ampère operators, Lelong numbers, and intersection theory, Complex Analysis and Geometry, V. Ancona and A. Silva Eds, Plenum, New York, London (1993). Zbl0792.32006
10. [De2] J. P. DEMAILLY, Algebraic Criteria for Kobayashi Hyperbolic Varieties and J et Differentials, Lecture notes of a course given at AMS summer research Institute, Santa Cruz (1995). 
11. [De3] J. P. DEMAILLY, Regularization of closed positive currents and intersection theory, J AG 1 (1992), 361-409. Zbl0777.32016MR93e:32015
12. [E] T. EKEDAHL, Foliations and Inseparable Morphisms, Algebraic Geometry, Bowdoin, Proc. Symp. Pure Math. 46, S. Bloch ed., AMS, Providence (1987), 139-149. Zbl0659.14018MR89d:14049
13. [F] G. FALTINGS, Diophantine Approximation on abelian Varieties, Ann. Math. 133 (1991), 549-576. Zbl0734.14007MR93d:11066
14. [Fu] W. FULTON, Intersection Theory, New York, Springer Verlag, Berlin, Heidelberg (1984). Zbl0541.14005MR85k:14004
15. [Fuj] T. FUJITA, On the Zariski problem, Proc. Japan Acad. 55 (1979), 106-110. Zbl0444.14026MR80j:14029
16. [G-G] M. GREEN, P. GRIFFITHS, Two applications of algebraic geometry to entire holomorphic mappings, The Chern Symposium, New York, Springer Verlag, Berlin, Heidelberg, (1979), 41-74. Zbl0508.32010MR82h:32026
17. [H] R. HARTSHORNE, Ample subvarieties of algebraic varieties, LNM 156 (1970). Zbl0208.48901MR44 #211
18. [J] J. P. JOUANOLOU, Hypersurface solutions d'une équation de Pfaff analytique, Math. Ann. 232 (1978), 239-245. Zbl0354.34007MR58 #1274
19. [L1] S. LANG, Number Theory III, Encyclopedia of Mathematical Sciences, volume 60, New York, Springer Verlag, Berlin, Heidelberg, 1991. Zbl0744.14012MR93a:11048
20. [L2] S. LANG, Introduction to complex hyperbolic spaces, New York, Springer Verlag, Berlin, Heidelberg (1987). Zbl0628.32001MR88f:32065
21. [L-C] S. LANG, W. CHERRY, Topics In Nevanlinna Theory, LNM 1433 (1990). Zbl0709.30030MR91k:32025
22. [L-Y] S. LU, S. T. YAU, Holomorphic curves in surfaces of general type, Proc. Nat. Acad. Sci. USA 87 (1990), 80-82. Zbl0702.32015MR91h:32021
23. [M1] M. McQUILLAN, A new proof of the Bloch conjecture, JAG 5 (1996), 107-117. Zbl0862.14027MR96m:32028
24. [M2] M. McQUILLAN, A Dynamical Counterpart To Faltings' Diophantine Approximation On Abelian Varieties, IHES preprint, 1996. 
25. [M3] M. McQUILLAN, La mappa di Faltings e la construzione grafica di Macpherson, lectures given at the Università di Napoli, "Federico II", to appear. 
26. [Mi1] Y. MIYAOKA, Algebraic Surfaces With Positive Index, Classification of algebraic and analytic manifolds (Kata Symposium Proc. 1982), Progress in Math. 39, Birkhauser, Boston Basel Stuttgart (1983), 281-301. Zbl0584.14022MR85j:14067
27. [Mi2] Y. MIYAOKA, Deformations of Morphisms Along a Foliation, Algebraic Geometry, Bowdoin, Proc. Symp. Pure Math. 46, S. Bloch ed., AMS, Providence (1987), 245-268. Zbl0659.14008MR89e:14011
28. [N] M. NAKAMAYE, conversation at tea, MSRI, 1992. 
29. [No] J. NOGUCHI, On the value distribution of meromorphic mappings of covering spaces over Cm into algebraic varieties, J. Math. Soc. Japan 37 (1985), 295-313. Zbl0566.32019MR86g:32043
30. [R] M. REID, Bogomolov's Theorem c21 ≤ 4c2, Proc. Intern. Colloq. Algebraic Geometry (Kyoto, 1977), 623-642. Zbl0478.14003MR82b:14014
31. [S] A. SEIDENBERG, Reduction of singularities of the differential equation A dy = B dx, American Journ. Math. 89 (1967), 248-269. Zbl0159.33303
32. [Sa] F. SAKAI, Weil Divisors on normal surfaces, Duke Math. J. 51 (1984), 877-887. Zbl0602.14006MR86m:14025
33. [S-B] N. SHEPHERD-BARON, Miyaoka's Theorems, Flips And Abundance For Algebraic Threefolds (János Kollár ed.), Asterisque vol. 211 (1992), 103-114. Zbl0809.14034
34. [Si] Y. T. SIU, Analyticity of sets associated to Lelong numbers and the extension of closed positive currents, Invent. Math. (1974), 53-156. Zbl0289.32003MR50 #5003
35. [So] C. SOULÉ, Lectures On Arakelov Geometry, Cambridge Studies in Advanced Mathematics 33, Cambridge, 1992. Zbl0812.14015MR94e:14031
36. [U] E. ULLMO, Positivité et discrétion des points algébriques des courbes, to appear. Zbl0934.14013
37. [V1] P. VOJTA, Diophantine Approximations and Value Distribution Theory, LNM 1239 (1987). Zbl0609.14011MR91k:11049
38. [V2] P. VOJTA, On Algebraic Points On Curves, Comp. Math. 78 (1991), 29-36. Zbl0731.14015MR93b:11080
39. [V3] P. VOJTA, Siegel's Theorem In The Compact Case, Ann. Math. 133 (1991), 509-548. Zbl0774.14019MR93d:11065
40. [V4] P. VOJTA, Integral points on subvarieties of semi-abelian varieties I, to appear. Zbl1011.11040

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