{"id":57,"date":"2017-10-04T18:47:23","date_gmt":"2017-10-04T21:47:23","guid":{"rendered":"http:\/\/www.professores.uff.br\/thiagofassarella\/?page_id=57"},"modified":"2023-07-07T10:24:52","modified_gmt":"2023-07-07T13:24:52","slug":"pesquisa","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/thiagofassarella\/pesquisa\/","title":{"rendered":"Pesquisa"},"content":{"rendered":"<h4>\u00a0<\/h4>\n<h4 class=\"Free_Form\" style=\"text-align: left\"><em><strong><span class=\"style\">Publica\u00e7\u00f5es<\/span><\/strong><\/em><\/h4>\n<h6 class=\"Free_Form\"><strong>\u25cf Higgs bundles over the five punctured sphere. (2023).\u00a0<\/strong><a href=\"https:\/\/arxiv.org\/pdf\/2303.12602.pdf\"><strong>pdf<\/strong><\/a><\/h6>\n<h6 class=\"Free_Form\">Joint with F. Loray.<\/h6>\n<h6 class=\"Free_Form\"><strong>\u25cf Hitchin fibration under ramified coverings.<em> Journal of Pure and Applied Algebra<\/em>. v. 227, (2023). <\/strong><strong><a href=\"https:\/\/arxiv.org\/abs\/2208.10130\">pdf<\/a> \u00a0 <\/strong><\/h6>\n<h6 class=\"Free_Form\">Joint with F. Loray.<\/h6>\n<h6 class=\"Free_Form\"><strong>\u25cf Monomial Cremona transformations and toric polar maps.\u00a0 <em>Communications in Algebra<\/em>. v. 51. p. 1-7, (2022).\u00a0 <a href=\"https:\/\/arxiv.org\/abs\/2206.04847\">pdf<\/a> <\/strong><\/h6>\n<h6 class=\"Free_Form\">Joint with N. Medeiros.<\/h6>\n<h6 class=\"Free_Form\"><strong>\u25cf Toric polar maps and characteristic classes. (2022) <a href=\"https:\/\/arxiv.org\/abs\/2205.03957\">pdf<\/a> <\/strong><\/h6>\n<h6 class=\"Free_Form\">Joint with N. Medeiros and R. Salom\u00e3o.<\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><strong>\u25cf On the moduli of logarithmic connections on elliptic curves. (2022). <em>Mathematische Zeitschrift<\/em>. v. 301, p. 4079-4118, (2022).\u00a0<\/strong><strong><span class=\"style_1\"> <a href=\"https:\/\/arxiv.org\/pdf\/2008.11767.pdf\">pdf<\/a><\/span><\/strong><\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><span class=\"style\">Joint with F. Loray and A. Muniz.\u00a0<\/span><\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><strong>\u25cf A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve. <em>Proc. AMS<\/em>, v. 150, p. 1849-1863, (2022).<\/strong><strong><span class=\"style_1\">\u00a0<a href=\"https:\/\/arxiv.org\/pdf\/2008.05229.pdf\">pdf<\/a><\/span><\/strong><\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><span class=\"style\">Joint with L. Justo.\u00a0<\/span><\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><strong>\u25cf <\/strong><strong>Developable cubics in P^4 and the Lefschetz locus in Gor(1,5,5,1). <\/strong><strong><span class=\"style_1\">\u00a0<em>Journal of Algebra. <\/em>v. 573, p. 123-147, (2021).\u00a0\u00a0<a href=\"https:\/\/arxiv.org\/pdf\/2002.08995.pdf\">pdf<\/a><\/span><\/strong><\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><span class=\"style\">Joint with V. Ferrer and R. Gondim<\/span>.<\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><strong>\u25cf On the automorphisms of the moduli spaces of parabolic vector bundles<\/strong><strong>.\u00a0<span class=\"style_1\"> <em>International Mathematics Research Notices<\/em>, Issue 3, (2021), 2261\u20132283. <a href=\"https:\/\/arxiv.org\/pdf\/1902.04136.pdf\">pdf<\/a><\/span><\/strong><\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><span class=\"style\">Joint with C. Araujo, I. Kaur and A. Massarenti<\/span>.<\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><strong>\u25cf\u00a0<\/strong><strong>Flat parabolic vector bundles on elliptic curves.\u00a0<span class=\"style_1\"> <em>Journal f\u00fcr die reine und angewandte Mathematik (Crelle&#8217;s Journal)<\/em>. v. 2020, p. 81-122, (2020). <a href=\"https:\/\/arxiv.org\/pdf\/1707.00820.pdf\">pdf<\/a><\/span><\/strong><\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><span class=\"style\">Joint with F. Loray<\/span>.<\/h6>\n<h6 class=\"Free_Form\" style=\"text-align: left\"><strong>\u25cf <span class=\"style_1\">On the order of the automorphism group of foliations. <em>Math. Nachrichten,<\/em>\u00a0<\/span><\/strong><strong><span class=\"style_1\">(2014)\u00a0<\/span><\/strong><strong><span class=\"style_1\">287, No 16, 1795-1803.\u00a0\u00a0<\/span><a class=\"style_1\" title=\"http:\/\/arxiv.org\/pdf\/1207.2382.pdf\" href=\"http:\/\/arxiv.org\/pdf\/1207.2382.pdf\">pdf<\/a><\/strong><\/h6>\n<h6><span class=\"style\">Joint with M. <\/span>Corr\u00eaa Jr.<strong><span class=\"style\"><br \/><\/span><\/strong><\/h6>\n<h6><strong><span class=\"style\">\u25cf<\/span>\u00a0On the p<span class=\"style_2\">olar degree of projective hypersurfaces. <\/span><span class=\"style\"><em>J. London Math. Soc.<\/em>, (2012) 86, No 1, 259-271.\u00a0<\/span><a title=\"http:\/\/arxiv.org\/pdf\/1108.2676\" href=\"http:\/\/arxiv.org\/pdf\/1108.2676\">pdf<\/a><span class=\"style\"><br \/><\/span><\/strong><\/h6>\n<h6><span class=\"style\">Joint with N. Medeiros.<\/span><strong><span class=\"style\"><br \/><\/span><\/strong><\/h6>\n<h6><strong><span class=\"style\">\u25cf<\/span> <span class=\"style_2\">Characteristic numbers and invariant subvarieties for projective webs<\/span><span class=\"style\">,\u00a0 <em>Bulletin des Sciences Math\u00e9matiques<\/em> (2012)\u00a0 136, 361-368.\u00a0<\/span><a title=\"http:\/\/arxiv.org\/pdf\/1102.4327\" href=\"http:\/\/arxiv.org\/pdf\/1102.4327\">pdf<\/a><span class=\"style\"><br \/><\/span><\/strong><\/h6>\n<h6><span class=\"style\">Joint with M. Falla Luza.<\/span><strong><span class=\"style\"><br \/><\/span><\/strong><\/h6>\n<h6><strong><span class=\"style\">\u25cf<\/span><span class=\"style\"> Logarithmic Hesse\u00b4s problem. <\/span><em><span class=\"style_2\">Bul. Brazilian Math. Society<\/span><\/em><span class=\"style\"> (2011)\u00a0 42 (2), 321-330.\u00a0<\/span><a title=\"http:\/\/arxiv.org\/pdf\/1102.1659\" href=\"http:\/\/arxiv.org\/pdf\/1102.1659\">pdf<\/a><span class=\"style\"><br \/><\/span><\/strong><\/h6>\n<h6><strong><span class=\"style\">\u25cf<\/span> <span class=\"style_2\">Foliations with degenerate Gauss maps on $P^4$<\/span><span class=\"style\">.<em> Annales de l&#8217;Institut Fourier,<\/em> (2010)\u00a0 60,\u00a0 455-487.\u00a0<\/span><a title=\"http:\/\/arxiv.org\/pdf\/0809.2761\" href=\"http:\/\/arxiv.org\/pdf\/0809.2761\">pdf<\/a><span class=\"style\"><br \/><\/span><\/strong><\/h6>\n<h6><strong>\u25cf On the degree of polar transformations. An approach through logarithmic foliations.<em> Selecta Mathematica<\/em>, (2007)\u00a0 13, 239-252.\u00a0<a title=\"http:\/\/arxiv.org\/pdf\/0705.1867\" href=\"http:\/\/arxiv.org\/pdf\/0705.1867\">pdf<\/a><\/strong><\/h6>\n<h6>Joint with J. V. Pereira.<\/h6>\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 Publica\u00e7\u00f5es \u25cf Higgs bundles over the five punctured sphere. (2023).\u00a0pdf Joint with F. Loray. \u25cf Hitchin fibration under ramified coverings. Journal of Pure and Applied Algebra. v. 227, (2023). [&hellip;]<\/p>\n","protected":false},"author":46,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"footnotes":""},"categories":[],"tags":[],"class_list":["post-57","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/pages\/57","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/users\/46"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/comments?post=57"}],"version-history":[{"count":24,"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/pages\/57\/revisions"}],"predecessor-version":[{"id":300,"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/pages\/57\/revisions\/300"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/media?parent=57"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/categories?post=57"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/thiagofassarella\/wp-json\/wp\/v2\/tags?post=57"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}