Description: The original on which the general strategy is based.
Known Bugs: None as such. It could, however, now be completely re-written in under 10 pages, so it's only here for legacy reasons.
Description: The classification theorem for foliated surfaces.
Known Bugs: None.
Description: A combinations of ``Canonical Models of Foliations'' and ``Bloch Hyperbolicity''.
Known Bugs: None as such, but pre-dates ``Canonical Models of Foliations'', and doesn't use champs de Deligne-Mumford, so is less elegant. Nevertheless, people have said that they prefer it, and find the combination with ``Bloch Hyperbolicity'' useful. Here for those that want it.
Description: Gives an optimal extension of ``Diophantine approximations and foliations'' from non-existence of entire mappings to convergence of discs with bubbles. Also clears up a lot of misunderstanding about so called normal (ab-normal would be better) convergence.
Known Bugs: None as such. However, the version in the ``book'' is more refined, and has better estimates on the degeneration of the Kobayashi metric. Post Duval though it's only the case of order zero O.D.E.'s that really matters in the main theorem, and this can be presented more slickly as in the new part of ``Old and new methods in function field arithmetic''.
Description: Peking I.C.M. talk expanding on ``Bloch Hyperbolicity''.
Known Bugs: None.
Description: Fundamental. Extends Mori's bend and break to the foliated case. Revised version, more or less as published, with bons material on the p-adic version of bend and break.
Known Bugs: None.
Description: Original version of miinimal model theorem for foliations by curves in all dimensions.
Known Bugs: None.
Description: The revision is a lot more general, i.e. arbitrary foliated Deligne-Mumford champs rather than the orginal minimalist sub-class that results if the starting point is a projective variety. On the other hand it confines itself to the minimal model theorem, and so omits a lot of other stuff in the original.
Known Bugs: None.
Description: How one puts everything together. Exhaustive on foliated 3-folds, and does the proposed induction in all dimensions.
Known Bugs: See nos. 14, 17 & 18 of the F.A.Q.
Description: Resolution of singularities for foliated 3-folds.
Known Bugs: None as such, but click here for a better version.
Description: The residue lemma in dimension 3.
Known Bugs: None.
Description: See no. 19 of the F.A.Q.. Revised and published in 2 separate articles below.
Known Bugs: None, unless you count saying ``sheaf of Banach'' instead of ``sheaf of Frechet''.
Description: The new function field derivative part of no. 19 of the F.A.Q.. Does what Osterl\'e refers to as the true "a,b,c" conjecture over characteristic zero function fields, i.e. at least 4 points.
Known Bugs: None.
Description: The old function field derivative part of no. 19 of the F.A.Q.. The principle application is the (strong) Mordell conjecture for surfaces of positive topological index over characteristic zero function fields.
Known Bugs: None.
, with D. Panazzolo.
Description: Without logical relevance to the proof, but essential reading if one wants to understand the problems of higher dimensional dynamics that the residue lemma is addressing.
Known Bugs: The asserted implicit function theorem is completely wrong. Correctable using known variants of Nash-Moser.
Description: This is not a book as such. It was conceived as a publication vechile, and consists of revised versions of ``Rational Curves on foliated varieties'', ``Semi-stable reduction of foliations'', ``Bloch Hyperbolicity'', and ``Uniform Uniformisation''. Apart from the issue with residue lemma described in no. 14 of the F.A.Q., the (refined) tautological inequality was moved from ``Semi-stable reduction of foliations'' to ``Bloch Hyperbolicity'', and there's further refinement in the latter too. There's also a lengthy, and hopefully helpful, introduction expanding on the overview of the proof. On the other hand, the said introduction is a bit dated since it was written priori to the proof of the finite generation of the canonical ring by Birkar, Cascini, Hacon & McKernan, and of the existence of Kähler-Einstein metrics on the same by Eyssidieux, Guedj, and Zeriahi. Currently, nothing whatsoever should be read into the fact that it's typeset with Princeton macros beyond the fact that I have no intention of going through a 1 MB TeX file to change the macros.
Known Bugs: See nos 14, 17, & 18 of the F.A.Q.
Description: Essential if one wants to understand the logical obstructions. Expands on nos. 10-12 of the F.A.Q..
Known Bugs: None.
Description: All of the above together with this index page (tmp/files/files.html) in a convenient tar ball.
Known Bugs: As above.