{"id":15,"date":"2017-09-16T17:37:17","date_gmt":"2017-09-16T21:37:17","guid":{"rendered":"http:\/\/sites.nd.edu\/b-taji\/?page_id=15"},"modified":"2019-02-04T00:36:34","modified_gmt":"2019-02-04T04:36:34","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/b-taji\/research\/","title":{"rendered":"Research"},"content":{"rendered":"

Papers and Preprints<\/h2>\n\n\n\n
2018<\/td>\nRemarks on the Kodaira dimension of base spaces of <\/b>families<\/b><\/span>\u00a0of manifolds\u00a0\u00a0<\/b>\u00a0arXiv:1809.05616<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
2018<\/td>\nHarmonic metrics on Higgs sheaves and uniformization of varieties of general type\u00a0<\/strong>\u00a0arXiv:1804.01266<\/a><\/td>\n<\/tr>\n
<\/td>\n(with D. Greb, S. Kebekus and T. Peternell)<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
2018<\/td>\nBrody hyperbolicity of base spaces of certain families of varieties \u00a0<\/strong> <\/b>arXiv:1801.05898<\/a><\/td>\n<\/tr>\n
<\/td>\n(with M. Popa and L. Wu)<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2017<\/td>\nNonabelian Hodge Theory for klt spaces and descent theorems for\u00a0<\/strong>vector bundles\u00a0 \u00a0<\/strong> <\/b>arXiv:1711.08159<\/a><\/td>\n<\/tr>\n
<\/td>\n(with D. Greb, S. Kebekus and<\/em>\u00a0T. Peternell)<\/em><\/td>\n<\/tr>\n
<\/td>\nTo appear in Compositio Math.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2017<\/td>\nHyperbolicity of singular spaces\u00a0 \u00a0 \u00a0 <\/b>arXiv:1710.08832<\/a> \u00a0<\/b><\/td>\n<\/tr>\n
<\/td>\n(with B. Cadorel and E. Rousseau)<\/em><\/td>\n<\/tr>\n
<\/td>\nTo appear in\u00a0J. \u00c9c. polytech. Math.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
2016<\/td>\nOrbifold stability and Miyaoka-Yau inequality for minimal pairs<\/b> arXiv:1611.05981<\/a><\/td>\n<\/tr>\n
<\/td>\n(with H. Guenancia)<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
2016<\/td>\nOrbifold Chern class inequalities and applications<\/b> arXiv:1611.06420<\/a><\/td>\n<\/tr>\n
<\/td>\n(with E. Rousseau)<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2016<\/td>\nGeneric positivity and applications to hyperbolicity of moduli spaces<\/b> arXiv:1610.09832<\/a><\/td>\n<\/tr>\n
<\/td>\n(with B. Claudon and S. Kebekus)<\/em><\/td>\n<\/tr>\n
<\/td>\nTo appear in the forthcoming book “Hyperbolicity of Projective Varieties”, Editors: Diverio and Voisin<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2016<\/td>\nUniformization of higher dimensional minimal varieties<\/b> arXiv:1608.06644<\/a>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (survey paper)<\/td>\n<\/tr>\n
<\/td>\n(with D. Greb and S. Kebekus)<\/em><\/td>\n<\/tr>\n
<\/td>\nProceedings<\/a> of the 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2015<\/td>\nThe Miyaoka-Yau inequality and uniformisation of minimal models<\/b> arXiv:1511.08822<\/a><\/td>\n<\/tr>\n
<\/td>\n(with D. Greb, S. Kebekus and<\/em><\/em>\u00a0T. Peternell)<\/em><\/td>\n<\/tr>\n
<\/td>\nTo appear in Annales scientifiques de l’\u00c9cole normale sup\u00e9rieure (ENS)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2014<\/td>\nA characterization of finite quotients of Abelian varieties<\/b> arXiv:1410.0063<\/a><\/td>\n<\/tr>\n
<\/td>\n(with S. Lu)<\/em><\/td>\n<\/tr>\n
<\/td>\nInternational Mathematics Research Notices (IMRN), Vol. 24 , 2016<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2014<\/td>\nThe isotriviality of smooth families of canonically polarized manifolds over a special base<\/b><\/td>\n<\/tr>\n
<\/td>\nCompositio Math., 152 (7): 1421-1434, 2016. arXiv:1310.5391<\/a><\/td>\n<\/tr>\n
<\/td>\nHere is an exposition<\/a> of this result together with that of Campana and Paun at Bourbaki 2015.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
2013<\/td>\nBirational positivity in dimension 4<\/b>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0arXiv:1304.6686<\/a><\/td>\n<\/tr>\n
<\/td>\n(with an appendix by F. Campana)<\/em><\/td>\n<\/tr>\n
<\/td>\nAnnales de l’institut Fourier, 63(1): 203-216, 2013<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

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Papers and Preprints 2018 Remarks on the Kodaira dimension of base spaces of families\u00a0of manifolds\u00a0\u00a0\u00a0arXiv:1809.05616 2018 Harmonic metrics on Higgs sheaves and uniformization of varieties of general type\u00a0\u00a0arXiv:1804.01266 (with D. Greb, S. Kebekus and T. Peternell) 2018 Brody hyperbolicity of … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":2779,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-15","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/pages\/15","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/users\/2779"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/comments?post=15"}],"version-history":[{"count":19,"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/pages\/15\/revisions"}],"predecessor-version":[{"id":131,"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/pages\/15\/revisions\/131"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/b-taji\/wp-json\/wp\/v2\/media?parent=15"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}