{"id":165,"date":"2023-06-07T17:41:38","date_gmt":"2023-06-08T00:41:38","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/ericmfriedlander\/?page_id=165"},"modified":"2023-06-20T13:03:50","modified_gmt":"2023-06-20T20:03:50","slug":"publications","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/ericmfriedlander\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <h1>Publications<\/h1>\n<div class=\"html-content\">\n<p>Preprint versions of papers:<\/p>\n<ul>\n<li>(with C. Negron), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/49.pdf\">Cohomology for Drinfeld Doubles of Some Infinitesimal Group Schemes<\/a>, To appear in Algebra and Number Theory. arxiv:1709.09217<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/48.pdf\">Rational Cohomology and Supports for Linear Algebraic Groups<\/a>, To appear in \u201cGeometric and Topoogical Aspects of Representation Theory of Finite groups, Springer-Verlag.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/47.pdf\">Filtrations, 1-Parameter Subgroups, and<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/47.pdf\"> Rational Injectivity<\/a>, Advances in Math. 323 (2018), 84 &#8211; 113.<\/li>\n<\/ul>\n<ul>\n<li>(with Joseph Ross), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/46.pdf\">An Approach to Intersection Theory on Singular Varieties using Motivic Complexes<\/a>, 152 (2016). 2371-2404.<\/li>\n<\/ul>\n<ul>\n<li>(with J. Carlson and J. Pevtsova), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/45.pdf\">Vector bundles associated to Lie algebras<\/a>, J. fur die Reine und Ang. Math. (Crelle) 716 (2016), 147-178.<\/li>\n<li>(with Jon F. Carlson and Julia Pevtsova), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/44.pdf\">Elementary Subalgebras of Lie Algebras<\/a>, J. Algebra 442 (2015), 155-189.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/43.pdf\">Support Varieties for Rational Representations<\/a>, 151 (2015), 765-792.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/42.pdf\">Spectrum of group cohomlogy and support varieties<\/a>, Journal of K-Theory 11 (2013), 507-516.<\/li>\n<\/ul>\n<ul>\n<li>(with J. Carlson and J. Pevtsova),<a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/41.pdf\"> Representations of elementary abelian p-groups and bundles on Grassmanians<\/a>, Advances in Math.229 (2012), 2985-3051.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/40.pdf\">Restrictions to G(Fp) and G(r) of rational G-modules<\/a>, Compositio Mathematica 147 (2011), 1955-1978.<\/li>\n<\/ul>\n<ul>\n<li>(with Julia Pevtsova), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/39.pdf\">Constructions for Infinitesimal Group Schemes<\/a>, Trans. Amer. Math. Soc. 363 (2011), 6007-60761.<\/li>\n<\/ul>\n<ul>\n<li>(with Jon C. Carlson and Andrei Suslin), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/38.pdf\">Modules for Z\/p x Z\/p<\/a>, Commentarrii Mathematici Helvetici 86 (2011), 609-657.<\/li>\n<\/ul>\n<ul>\n<li>(with J. Pevtsova) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/37.pdf\">Generalized support varieties for finite group schemes<\/a>, Documenta Mathematica &#8211; Extra volume Suslin (2010), 197-222.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/36.pdf\">Weil Restriction and Support Varieties<\/a>, Journal f\u00a8ur die reine und angewandte Mathematik, 648 (2010), 183-200.<\/li>\n<\/ul>\n<ul>\n<li>(with Christian Haesemeyer), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/35.pdf\">Lipschitz cocycles and Poincare duality<\/a>, in The Geometry of Algebraic Cycles, Clay Mathematics Proceedings, vol 9, Amer. Math. Soc, Providence, RI, 2010, pp. 33-51.<\/li>\n<\/ul>\n<ul>\n<li>(with Jon F. Carlson), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/34.pdf\">Exact Category of Modules of Constant Jordan type<\/a>, Exact category of modules of constant Jordan type. Manin Festschift, Progress in Mathematics, vol. 269, Birkh\u00a8auser-Boston (2009), 267-290.<\/li>\n<\/ul>\n<ul>\n<li>(with Vincent Franjou), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/33.pdf\">Cohomology of bifunctors<\/a>, Proceedings of the London Mathematical Society 97 (2008), 514-544.<\/li>\n<\/ul>\n<ul>\n<li>(with Jon Carlson and Julia Pevtsova), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/32.pdf\">Modules of constant Jordan type<\/a>, Journal f\u00b4ur die reine und angewandte Mathematik 614 (2008), 191-234.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/31.pdf\">The Friedlander-Milnor Conjecture<\/a>, L\u2019Enseignement Math\u00b4ematique 54 (2008), 90-92.<\/li>\n<\/ul>\n<ul>\n<li>(with Julia Pevtsova), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/\/pi-supports-for-modules-for-finite-group-schemes-over-a-field\/\">II-suppor<\/a><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/30.pdf\">ts for Modules for Finite Group Schemes over a Field<\/a>, Duke Math. J. 139 (2007), 317-368.<\/li>\n<\/ul>\n<ul>\n<li>(with Julia Pevtsova and Andrei Suslin), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/29.pdf\">Generic and maximal Jordan types<\/a>, Inventiones Math 168 (2007), 485-522.<\/li>\n<\/ul>\n<ul>\n<li>(with Julia Pevtsova), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/28.pdf\">Representation-Theoretic Spaces for Finite Group Schemes<\/a>, American Journal of Math 127 (2005), 379-420.<\/li>\n<\/ul>\n<ul>\n<li>(with Mark Walker), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/27.pdf\">Semi-topological K-theory<\/a>, in Handbook of K-theory, vol I (2005).<\/li>\n<\/ul>\n<ul>\n<li>(with Christian Haesemeyer and Mark Walker), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/26.pdf\">Techniques, computations, and conjectures for semi-topological K-theory<\/a>, Math Annalen 330 (2004), 759-807.<\/li>\n<\/ul>\n<ul>\n<li>(with Mark Walker), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/25.pdf\">Rational isomorphisms between K-theories and cohomology theories<\/a>, Inventiones Math. 154 (2003), 1\u201361.<\/li>\n<\/ul>\n<ul>\n<li>(with Mark Walker), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/24.pdf\">Semi-topological K-theory using function complexes <\/a> Topology 41 (2002), 591\u2013644.<\/li>\n<\/ul>\n<ul>\n<li>(with Andrei Suslin), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/23.pdf\">The Spectral Sequence relating Algebraic K-theory to Motivic Cohomology<\/a>, Ann. Sci. Ec Norm. Sup. 35 (2002), 773\u2013875.<\/li>\n<\/ul>\n<ul>\n<li>(with Mark Walker), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/22.pdf\">Function spaces and continuous algebraic pairings for varieties<\/a>, Compositio Math. 125 (2001), 69\u2013110.<\/li>\n<\/ul>\n<ul>\n<li>(with Mark Walker), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/21.pdf\">Comparing K-theories for Complex Varieties<\/a>, American J. of Math 123 (2001), 779\u2013810.<\/li>\n<\/ul>\n<ul>\n<li>(with Mark Walker), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/20.pdf\">Semi-topological K-theory of Real Varieties<\/a> ,Proceedings of the International Colloquium on Algebra, Arithmetic and Geometry, Tata Institute of Fundamental, Research, Mumbai 2000, Ed. R. Parimala, (2001), 219\u2013326.<\/li>\n<\/ul>\n<ul>\n<li>(with Mark Walker), <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s002220100158\">Some Remarks concerning mod-n K-theory<\/a>, Invent. math 145 (2001), 545\u2013555.<\/li>\n<\/ul>\n<ul>\n<li>(with V. Voevodsky) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/18.pdf\">Bivariant cycle cohomology<\/a>. In Cycles, Transfers, and Motivic Homology Theories. Annals of Math Studies, Princeton University Press 2000, 138-187.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/17.pdf\">Relative Chow Correspondences and the Griffiths Group<\/a> , Annales de l\u2019Institut Fourier, Grenoble 50 (2000), 1073-1098.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/16.pdf\">Bloch-Ogus Properties for Topological Cycle Theory<\/a>, Annales Ec. Norm Sup. 33 (2000), 57-65.<\/li>\n<\/ul>\n<ul>\n<li>(with Vincent Franjou, Alexander Scorichenko, and Andrei Suslin), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/15.pdf\">General Linear and Functor Cohomology over Finite Fields<\/a> , Annals of Math 150 (1999), 663-728.<\/li>\n<\/ul>\n<ul>\n<li>(with H.B. Lawson) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/14.pdf\">Moving algebraic cycles of bounded degree<\/a>. Inventiones Math. 132 (1998), 91-119.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/13.pdf\">Algebraic Cocycles on Normal, Quasi-Projective Varieties<\/a>, Compositio Math. 110 (1998), 127-162.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/12.pdf\">Geometry of-Infinitesimal Group Schemes<\/a>, Documenta Mathematica 1998, Extra Vol. II, 55-65.<\/li>\n<\/ul>\n<ul>\n<li>(with A. Suslin and C. Bendel) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/11.pdf\">Infinitesimal 1-parameter subgroups and cohomology<\/a>, Journal of the American Mathematical Society, 10 (1997), 693-728.<\/li>\n<\/ul>\n<ul>\n<li>(with A. Suslin), <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/10.pdf\">Cohomology of finite group schemes over a field<\/a>, Inventiones Math. 127 (1997), 209-270.<\/li>\n<li>(with H.B. Lawson) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/9.pdf\">Duality relating spaces of algebraic cocycles and cycles<\/a>, Topology 36 (1997), 533-565.<\/li>\n<\/ul>\n<ul>\n<li>(with Andrei Suslin and Christopher P. Bendel), <a href=\"https:\/\/www.ams.org\/journals\/jams\/1997-10-03\/S0894-0347-97-00239-7\/S0894-0347-97-00239-7.pdf\">Support Varieties for Infinitesimal Group Schemes<\/a>, Journal of the American Mathematical Society, 10 (1997), 729-759.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/7.pdf\">Motivic Complexes of Suslin and Voevodsky<\/a>, S\u00b4eminaire Bourbaki. vo. 1996\/97. Asterisque 245 (1997), 355-378.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/6.pdf\">Intersection products for spaces of algebraic cycles<\/a>, Recent progress in intersection theory (Bologna, 1997), 217\u2013237, Trends Math., Birkhauser 2000<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/5.pdf\">Filtrations on algebraic cycles and homology<\/a>, Annales Ec. Norm. Sup., 4e serie, t. 28 (1995), 317-343.<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/4.pdf\">Some computations of algebraic cycle homology<\/a>, K-theory 8 (1994), 271\u2013285.<\/li>\n<\/ul>\n<ul>\n<li>(with B. Mazur) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/3.pdf\">Correspondence homomorphism for singular varieties<\/a>, Annales de l\u2019Institut Fourier 44, 3 (1994), 703-727.<\/li>\n<li>(with W. Dwyer) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/2.pdf\">Topological models for arithmetic<\/a>, Topology 33 (1994), 1\u201324.<\/li>\n<li>(with O. Gabber) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/1.pdf\">Cycle spaces and intersection theory<\/a>, in Topological Methods in Modern Mathematics (1993), 325-370.<\/li>\n<li>(with H.B. Blaine Lawson Jr.) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/0.pdf\">Graph mappings and Poincare duality<\/a>, Math. Ann. 343 (209), no.2, 431\u2013461. (1993), 325-370.<\/li>\n<li>(with A. Suslin and C.P. Bendel) <a href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/wp-content\/uploads\/sites\/233\/2023\/06\/0b.pdf\">Support varieties for infinitesimal group schemes<\/a>, J. Amer. Math. Soc. 10 (1997), no. 3, 729\u2013759.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>All published papers are listed at <a href=\"http:\/\/www.ams.org\/mathscinet\">MathSciNet<\/a><\/p>\n<\/div>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":279,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-165","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Publications - Eric M. Friedlander<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/publications\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Publications - Eric M. Friedlander\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/ericmfriedlander\/publications\/\" \/>\n<meta property=\"og:site_name\" content=\"Eric M. 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