Recent preprints and work in progress

Jean-Pierre Demailly

(last update: December 13, 2011)




[74] (in collaboration with Robert Berman) Regularity of plurisubharmonic upper envelopes in big cohomology classes, Prépublication Institut Fourier, May 5, 2009, arXiv:math.CV/0905.1246, Proceedings of the Symposium "Perspectives in Analysis, Geometry and Topology" in honor of Oleg Viro (Stockholm University, May 2008), to appear [envelope.pdf]

[75] Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann, Prépublication Institut Fourier, February 23, 2010, math.CV:hal-00462954, Proceedings of the Riemann International School of Mathematics "Advances in Number Theory and Geometry" held in Verbania, Italy, April 2009; Milan J. Math. 78 (2010), 265-277 [asympt_cohomology.pdf]

[76] On the mathematical heritage of Henri Cartan, Cartan and Complex Analytic Geometry, Notices of the AMS 57, number 8 (Sept. 2010), 952-954 [cartan_heritage.pdf]

[77] A converse to the Andreotti-Grauert theorem, Prépublication Institut Fourier, October 11, 2010, math.AG:hal-00536317, arXiv: math.AG/1011.3635, to appear in the Proceedings of the conference in honor of Nguyen Thanh Van (Université de Toulouse, October 2008), Ann. Faculté des Sciences de Toulouse [converse_AG.pdf]

[78] Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture , Prépublication Institut Fourier, November 15, 2010, math.AG:hal-00536319, arXiv: math.AG/1011.3636, dedicated to the memory of Eckart Viehweg; Pure and Applied Mathematics Quarterly 7 (2011) 1165-1208 [morse_ggl.pdf]

[79] (in collaboration with Christopher Hacon and Mihai Paun) Extension theorems, Non-vanishing and the existence of good minimal models, arXiv: math.AG/1012.0493 [minimal_models.pdf]

[80] (in collaboration with Slawomir Dinew, Vincent Guedj, Hoang Hiep Pham, Slawomir Kolodziej, Ahmed Zeriahi) Hölder continuous solutions to Monge-Ampère equations, arXiv: math.CV/1112.1138 [holder_solutions.pdf]

[81] (in collaboration with Hoang Hiep Pham) A sharp lower bound for the log canonical threshold, hal-00661341 and arXiv: math.CV/1201.4086 [lct-sharp-bound.pdf]



Research papers (already published or accepted)
Books, textbooks & other documents