@article{PMIHES_1998__87__121_0,
author = {McQuillan, Michael},
title = {Diophantine approximations and foliations},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {121--174},
year = {1998},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {87},
mrnumber = {1659270},
zbl = {01560393},
language = {en},
url = {https://www.numdam.org/item/PMIHES_1998__87__121_0/}
}
TY - JOUR AU - McQuillan, Michael TI - Diophantine approximations and foliations JO - Publications Mathématiques de l'IHÉS PY - 1998 SP - 121 EP - 174 VL - 87 PB - Institut des Hautes Etudes Scientifiques UR - https://www.numdam.org/item/PMIHES_1998__87__121_0/ LA - en ID - PMIHES_1998__87__121_0 ER -
McQuillan, Michael. Diophantine approximations and foliations. Publications Mathématiques de l'IHÉS, Tome 87 (1998), pp. 121-174. https://www.numdam.org/item/PMIHES_1998__87__121_0/
[A-S-S] , , , Global Moduli For Contacts, MSRI preprint (1992).
[B-B] , , Singularities Of Holomorphic Foliations, J. Differential Geometry 7 (1972), 279-342. | Zbl | MR
[B1] , Families Of Curves On Surfaces Of General Type, Soviet Math. Dokl. 18 (1977), 1294-1297. | Zbl | MR
[B2] , Holomorphic tensors and vector bundles on projective varieties, Math. USSR Izv. 13 (1978), 499-555. | Zbl
[Bo] , 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. | Zbl | Numdam
[C] , Non Commutative Geometry, Academic Press, 1994. | MR
[C-M] , , Formes intégrables holomorphes singulières, Astérisque vol. 97 (1982). | Zbl | MR | Numdam
[D] , Courbes de genres géométrique borné sur une surface de type général (d'après F. A. Bogomolov), Séminaire Bourbaki 519 (1977/1978). | Zbl | Numdam
[De1] , Monge-Ampère operators, Lelong numbers, and intersection theory, Complex Analysis and Geometry, V. Ancona and A. Silva Eds, Plenum, New York, London (1993). | Zbl
[De2] , Algebraic Criteria for Kobayashi Hyperbolic Varieties and J et Differentials, Lecture notes of a course given at AMS summer research Institute, Santa Cruz (1995).
[De3] , Regularization of closed positive currents and intersection theory, J AG 1 (1992), 361-409. | Zbl | MR
[E] , Foliations and Inseparable Morphisms, Algebraic Geometry, Bowdoin, Proc. Symp. Pure Math. 46, S. Bloch ed., AMS, Providence (1987), 139-149. | Zbl | MR
[F] , Diophantine Approximation on abelian Varieties, Ann. Math. 133 (1991), 549-576. | Zbl | MR
[Fu] , Intersection Theory, New York, Springer Verlag, Berlin, Heidelberg (1984). | Zbl | MR
[Fuj] , On the Zariski problem, Proc. Japan Acad. 55 (1979), 106-110. | Zbl | MR
[G-G] , , Two applications of algebraic geometry to entire holomorphic mappings, The Chern Symposium, New York, Springer Verlag, Berlin, Heidelberg, (1979), 41-74. | Zbl | MR
[H] , Ample subvarieties of algebraic varieties, LNM 156 (1970). | Zbl | MR
[J] , Hypersurface solutions d'une équation de Pfaff analytique, Math. Ann. 232 (1978), 239-245. | Zbl | MR
[L1] , Number Theory III, Encyclopedia of Mathematical Sciences, volume 60, New York, Springer Verlag, Berlin, Heidelberg, 1991. | Zbl | MR
[L2] , Introduction to complex hyperbolic spaces, New York, Springer Verlag, Berlin, Heidelberg (1987). | Zbl | MR
[L-C] , , Topics In Nevanlinna Theory, LNM 1433 (1990). | Zbl | MR
[L-Y] , , Holomorphic curves in surfaces of general type, Proc. Nat. Acad. Sci. USA 87 (1990), 80-82. | Zbl | MR
[M1] , A new proof of the Bloch conjecture, JAG 5 (1996), 107-117. | Zbl | MR
[M2] , A Dynamical Counterpart To Faltings' Diophantine Approximation On Abelian Varieties, IHES preprint, 1996.
[M3] , La mappa di Faltings e la construzione grafica di Macpherson, lectures given at the Università di Napoli, "Federico II", to appear.
[Mi1] , 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. | Zbl | MR
[Mi2] , Deformations of Morphisms Along a Foliation, Algebraic Geometry, Bowdoin, Proc. Symp. Pure Math. 46, S. Bloch ed., AMS, Providence (1987), 245-268. | Zbl | MR
[N] , conversation at tea, MSRI, 1992.
[No] , On the value distribution of meromorphic mappings of covering spaces over Cm into algebraic varieties, J. Math. Soc. Japan 37 (1985), 295-313. | Zbl | MR
[R] , Bogomolov's Theorem c21 ≤ 4c2, Proc. Intern. Colloq. Algebraic Geometry (Kyoto, 1977), 623-642. | Zbl | MR
[S] , Reduction of singularities of the differential equation A dy = B dx, American Journ. Math. 89 (1967), 248-269. | Zbl
[Sa] , Weil Divisors on normal surfaces, Duke Math. J. 51 (1984), 877-887. | Zbl | MR
[S-B] , Miyaoka's Theorems, Flips And Abundance For Algebraic Threefolds (János Kollár ed.), Asterisque vol. 211 (1992), 103-114. | Zbl
[Si] , Analyticity of sets associated to Lelong numbers and the extension of closed positive currents, Invent. Math. (1974), 53-156. | Zbl | MR
[So] , Lectures On Arakelov Geometry, Cambridge Studies in Advanced Mathematics 33, Cambridge, 1992. | Zbl | MR
[U] , Positivité et discrétion des points algébriques des courbes, to appear. | Zbl
[V1] , Diophantine Approximations and Value Distribution Theory, LNM 1239 (1987). | Zbl | MR
[V2] , On Algebraic Points On Curves, Comp. Math. 78 (1991), 29-36. | Zbl | MR | Numdam
[V3] , Siegel's Theorem In The Compact Case, Ann. Math. 133 (1991), 509-548. | Zbl | MR
[V4] , Integral points on subvarieties of semi-abelian varieties I, to appear. | Zbl





