Recent preprints and work in progress
Jean-Pierre Demailly
(last update: February 28, 2018)
[87] Lars Hörmander and the theory of L² estimates for the d-bar operator, manuscript Institut Fourier, December 2013,
[hormander_l2_estimates.pdf]
[88] On the cohomology of pseudoeffective line bundles, written
exposition of a talk given at the Abel Symposium, Trondheim, July 2013;
manuscript Institut Fourier, January 9, 2014
[psef_cohom_plain_v2.pdf]
[89] Structure theorems for compact Kähler manifolds with nef
anticanonical bundles, written exposition of a talk given at the
KSCV10 conference, Gyeong-Ju, Korea, manuscript Institut Fourier,
November 24, 2014, [kscv10.pdf]
[90] Towards the Green-Griffiths-Lang conjecture,
manuscript Institut Fourier, December 2, 2014,
[hal-01092537]
[towards_ggl.pdf]
[91] (in collaboration with Hervé Gaussier)
Algebraic embeddings of smooth almost complex structures,
manuscript Institut Fourier, December 9, 2014,
[hal-01092620]
[alg_embedding.pdf]
The above manuscript refers to an unpublished work of F.Bogomolov
"Complex manifolds and algebraic foliations" originally published in the
preprint series of RIMS, Kyoto. It seems very hard to find; here is a copy:
[bogomolov_RIMS1084.pdf]
[92] Yet incomplete attempt of what could be a proof of an optimal version
of the Kobayashi conjecture on the hyperbolicity of very general
hypersurfaces, manuscript Institut Fourier, February 13, 2015,
[hal-01109166]
[arXiv:1501.07625v3]
[kobayashi_conj.pdf]
(Lemma 5.1.18 is wrong - maybe a suitable weaker result could still
be used instead...)
[93] Extension of holomorphic functions defined on non reduced analytic
subvarieties, manuscript Institut Fourier, October 18, 2015,
arXiv : 1510.05230 and
[hal-01216962]
[holom_extension.pdf]
[94] Variational approach for complex Monge-Ampère equations and
geometric applications (after Berman, Berndtsson, Boucksom, Eyssidieux,
Guedj, Jonsson, Zeriahi, ...), Séminaire Bourbaki, March 19, 2016,
exposé no. 1112,
[bourbaki_1112.pdf]
[95] Precise error estimate of the Brent-McMillan algorithm for the
computation of Euler's constant, [hal-01377144v2]
[gamma_brent_mcmillan.pdf]
[96] (in collaboration with Junyan Cao and Shin-ichi Matsumura)
A general extension theorem for cohomology classes on non reduced analytic spaces, [hal-01480220]
[cohom_class_extension.pdf]
[97] Fano manifolds with nef tangent bundles are weakly almost
Kähler-Einstein,
[hal-01660131]
[special_issue_mok.pdf]
[98] Recent results on the Kobayashi and Green-Griffiths-Lang
conjectures, expanded version of talks given at the 16th Takagi
Lectures in Tokyo, November 29, 2015,
[hal-01683413]
[takagi16_jpd.pdf]
[99] A simple proof of the Kobayashi conjecture on the
hyperbolicity of general algebraic hypersurfaces, chapter of a
forthcoming book by S. Diverio et al on hyperbolicity,
[hypbook_jpd.pdf]
Research papers (already published)
Books, textbooks & other documents