Papers and Preprints

2022 Arakelov inequalities in higher dimensions arXiv:2205.00761
(with S. Kovács)
2021 Hodge sheaves underlying flat projective families arXiv:2103.03515
(with S. Kovács)
2020 Birational geometry of smooth families of varieties admitting good minimal models arXiv:2005.01025
2018 On the Kodaira dimension of base spaces of families of manifolds arXiv:1809.05616
Jounrnal of Pure and Applied Algebra, Vol. 225, Issue 11 (Nov 2021)
2018 Harmonic metrics on Higgs sheaves and uniformization of varieties of general type
(with D. Greb, S. Kebekus and T. Peternell)
Mathematische Annalen, 378, 1061-1094 (2020). arXiv:1804.01266
2018 Brody hyperbolicity of base spaces of certain families of varieties
(with M. Popa and L. Wu)
Algebra and Number Theory, 12 (9): 2205-2242, 2019. arXiv:1801.05898
2017 Nonabelian Hodge Theory for klt spaces and descent theorems for vector bundles
(with D. Greb, S. Kebekus and T. Peternell)
Compositio Math., 155 (2): 289-323, 2019. arXiv:1711.08159
2017 Hyperbolicity of singular spaces
(with B. Cadorel and E. Rousseau)
Journal de l'École polytechnique — Mathématiques, Volume 6 (2019), p. 1-18. arXiv:1710.08832
2016 Orbifold stability and Miyaoka-Yau inequality for minimal pairs
(with H. Guenancia)
Geometry & Topology, arXiv:1611.05981
2016 Orbifold Chern class inequalities and applications arXiv:1611.06420
(with E. Rousseau)
2016 Generic positivity and applications to hyperbolicity of moduli spaces arXiv:1610.09832
(with B. Claudon and S. Kebekus)
To appear in the forthcoming book "Hyperbolicity of Projective Varieties", Editors: Diverio and Voisin.
2016 Uniformization of higher dimensional minimal varieties arXiv:1608.06644
(with D. Greb and S. Kebekus)
Proceedings of the 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City.
2015 The Miyaoka-Yau inequality and uniformisation of minimal models arXiv:1511.08822
Ann. Sci. Éc. Norm. Supér. (4) 52 (2019), no. 6, 1487–1535 (2020)
(with D. Greb, S. Kebekus and T. Peternell)
2014 A characterization of finite quotients of Abelian varieties arXiv:1410.0063
(with S. Lu)
International Mathematics Reseach Notices (IMRN), Vol. 24 , 2016.
2014 The isotriviality of smooth families of canonically polarized manifolds over a special base
Compositio Math., 152 (7): 1421-1434, 2016. arXiv:1310.5391
Here is an exposition of this result together with that of Campana and Paun at Bourbaki 2105.
2013 Birational positivity in dimension 4 arXiv:1304.6686
(with an appendix by F. Campana)
Annales de l'institut Fourier, 63(1): 203-216, 2013.