{"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><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/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). pdf \u00a0 Joint with F. Loray. \u25cf Monomial Cremona transformations and toric polar maps.\u00a0 Communications in Algebra. v. 51. p. 1-7, (2022).\u00a0 pdf Joint with [&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,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"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}]}}