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Math., 38, 267, 10.1016\u002F0001-8708(80)90007-9\nAn, 2018, On the f-vectors of Gelfand-Cetlin polytopes, Eur. J. Comb., 67, 61, 10.1016\u002Fj.ejc.2017.07.005\nArnold, 1969, Hamiltonian nature of Euler equations of dynamics of rigid body in ideal fluid, Usp. Mat. Nauk, 26, 225\nArnold, 1966, Sur la geometrie des groupes de Lie de dimension infinie et ses applications a l'hydrodynamique des fluides parfaites, Ann. Inst. Fourier, 16, 319, 10.5802\u002Faif.233\nAudin, 1999, Spinning Tops: A Course on Integrable Systems\nAudin, 1993, Variétés abéliennes réelles et toupie de Kowalevski, Compos. Math., 87, 153\nBabelon, 2007, Introduction to Classical Integrable Systems\nBeauville, 1990, Jacobiennes des courbes spectrales et systèmes hamiltoniens complètement intégrables, Acta Math., 164, 211, 10.1007\u002FBF02392754\nBosch, 2013, Algebraic Geometry and Commutative Algebra, 10.1007\u002F978-1-4471-4829-6\nBolsinov, 2006, Singularities of Integrable Hamiltonian Systems, 1\nBouloc, 2018, Singular fibers of the Gelfand-Cetlin system on u(n)⁎, Philos. Trans. R. Soc. A, 10.1098\u002Frsta.2017.0423\nChari, 1995\nDonagi, 1995, Spectral covers, Math. Sci. Res. Inst. Publ., 28, 65\nDrozd, 1992, Harish-Chandra suabalgebra and Gelfand-Zetlin modules, vol. 424, 79\nEliasson, 1990, Normal forms for Hamiltonian systems with Poisson commuting integrals-elliptic case, Comment. Math. Helv., 65, 4, 10.1007\u002FBF02566590\nEuler, 1758, Decouverte d'une nouveau principe de mechanique, Mem. Acad. Sci. Berlin, 14, 154\nFaddeev, 1999, Instructive history of the quantum inverse scattering method, vol. 530, 161\nFischer, 2001, Plane Algebraic Curves, vol. 15\nFrançoise, 1986, Calculs explicites d'action-angles, vol. 102, 101\nFrançoise, 2015, Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on SO(3), Nonlinearity, 28, 1193, 10.1088\u002F0951-7715\u002F28\u002F5\u002F1193\nFrançoise, 2020, The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces, vol. 459, 288\nFutorny, 2015, Singular Gelfand-Tsetlin modules of gl(n), Adv. Math.\nGiacobbe, 2002, Some remarks on the Gelfand-Cetlin system, J. Phys. A, 35, 10591, 10.1088\u002F0305-4470\u002F35\u002F49\u002F308\nGirondo, 2011, Introduction to Compact Riemann Surfaces and Dessins D'enfants, vol. 79\nGriffiths, 1985, Linearizing flows and a cohomological interpretation of Lax equations, Am. J. 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Soc., 12, 1267, 10.4171\u002FJEMS\u002F229","https:\u002F\u002Fems.press\u002Fdoi\u002F10.4171\u002Fjems\u002F229",{"doi":901},"10.4171\u002Fjems\u002F229",{"id":903,"text":904,"url":905,"identifiers":906},"0db6f07d-2219-49e2-8c1e-1fdc6cf6ab9f","Doubrov, 2010, On the integrability of symplectic Monge-Ampère equations, J. Geom. Phys., 60, 1604, 10.1016\u002Fj.geomphys.2010.05.009","https:\u002F\u002Flinkinghub.elsevier.com\u002Fretrieve\u002Fpii\u002FS0393044010001105",{"doi":907},"10.1016\u002Fj.geomphys.2010.05.009",{"id":909,"text":910,"url":911,"identifiers":912},"e14e3845-81de-4f3c-8101-850e86a90bb6","Dolgachev, 1993, Polar covariants of plane cubics and quartics, Adv. 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Math., 58, 300, 10.1016\u002F0001-8708(85)90121-5","https:\u002F\u002Flinkinghub.elsevier.com\u002Fretrieve\u002Fpii\u002F0001870885901215",{"doi":943},"10.1016\u002F0001-8708(85)90121-5",{"id":18,"text":945,"url":18,"identifiers":946},"Hwang",{},{"id":18,"text":948,"url":18,"identifiers":949},"Ilardi, 1999, Rational varieties satisfying one or more Laplace equations, Ric. Mat., 48, 123",{},{"id":18,"text":951,"url":18,"identifiers":952},"Ilardi, 2006, Togliatti systems, Osaka J. Math., 43, 1",{},{"id":954,"text":955,"url":956,"identifiers":957},"50294e11-2f11-49fc-972f-41be7e85f71f","Iliev, 2005, Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci, Mich. Math. J., 53, 383, 10.1307\u002Fmmj\u002F1123090775","https:\u002F\u002Fprojecteuclid.org\u002Fjournals\u002Fmichigan-mathematical-journal\u002Fvolume-53\u002Fissue-2\u002FGeometry-of-the-Lagrangian-Grassmannian-LG36-with-applications-to-Brill\u002F10.1307\u002Fmmj\u002F1123090775.full",{"doi":958},"10.1307\u002Fmmj\u002F1123090775",{"id":559,"text":960,"url":561,"identifiers":961},"Krivoruchenko, 2016, Trace identities for skew-symmetric matrices, Math. Comput. Sci., 1, 21",{"doi":563},{"id":963,"text":964,"url":965,"identifiers":966},"04da90cb-11f2-4f16-90ae-6cbfb0d638c8","Landsberg, 2003, On the projective geometry of rational homogeneous varieties, Comment. Math. Helv., 78, 65, 10.1007\u002Fs000140300003","http:\u002F\u002Fwww.ems-ph.org\u002Fdoi\u002F10.1007\u002Fs000140300003",{"doi":967},"10.1007\u002Fs000140300003",{"id":559,"text":969,"url":561,"identifiers":970},"Manivel, 2009, On spinor varieties and their secants, SIGMA, 5",{"doi":563},{"id":972,"text":973,"url":974,"identifiers":975},"8b83e231-1448-418f-9c58-b639b7808bc6","Massarenti, 2016, Generalized varieties of sums of powers, Bull. Braz. Math. Soc. (N.S.), 47, 911, 10.1007\u002Fs00574-016-0196-0","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00574-016-0196-0",{"doi":976},"10.1007\u002Fs00574-016-0196-0",{"id":978,"text":979,"url":980,"identifiers":981},"11a9ff47-e4c1-4369-9e1a-e93b29c3d8c8","Massarenti, 2013, Birational aspects of the geometry of varieties of sums of powers, Adv. Math., 243, 187, 10.1016\u002Fj.aim.2013.04.006","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0001870813001187",{"doi":982},"10.1016\u002Fj.aim.2013.04.006",{"id":984,"text":985,"url":986,"identifiers":987},"07f245a6-6545-4fbe-a8b0-17d5342f616a","Mezzetti, 2013, Laplace equations and the weak Lefschetz property, Can. J. Math., 65, 634, 10.4153\u002FCJM-2012-033-x","https:\u002F\u002Fwww.cambridge.org\u002Fcore\u002Fproduct\u002Fidentifier\u002FS0008414X0000225X\u002Ftype\u002Fjournal_article",{"doi":988},"10.4153\u002Fcjm-2012-033-x",{"id":559,"text":990,"url":561,"identifiers":991},"Massarenti, 2019, Non-secant defectivity via osculating projections, Ann. Sc. Norm. Super. Pisa, Cl. Sci., XIX, 1",{"doi":563},{"id":993,"text":994,"url":995,"identifiers":996},"cda0c7dc-149c-4a2d-a474-da280cd8743f","Perrin, 2012, Elliptic curves on spinor varieties, Cent. Eur. J. 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Iberoam., 29, 1191, 10.4171\u002FRMI\u002F753","https:\u002F\u002Fems.press\u002Fdoi\u002F10.4171\u002Frmi\u002F753",{"doi":1009},"10.4171\u002Frmi\u002F753",{"id":559,"text":1011,"url":561,"identifiers":1012},"Piene, 1990, A characterization of balanced rational normal scrolls in terms of their osculating spaces, vol. 1436, 215",{"doi":563},{"id":1014,"text":1015,"url":1016,"identifiers":1017},"e22b038c-caaa-4e9a-9bcb-ce4c5e0d8e92","Di Rocco, 2017, A note on higher-order Gauss maps, Mich. Math. J., 66, 21, 10.1307\u002Fmmj\u002F1488510023","https:\u002F\u002Fprojecteuclid.org\u002Fjournals\u002Fmichigan-mathematical-journal\u002Fvolume-66\u002Fissue-1\u002FA-note-on-higher-order-Gauss-maps\u002F10.1307\u002Fmmj\u002F1488510023.full",{"doi":1018},"10.1307\u002Fmmj\u002F1488510023",{"id":1020,"text":1021,"url":1022,"identifiers":1023},"10df10f9-d52f-40a4-a459-85c26009cf94","Ranestad, 2000, Varieties of sums of powers, J. Reine Angew. Math., 525, 147, 10.1515\u002Fcrll.2000.064","https:\u002F\u002Fwww.degruyter.com\u002Fdocument\u002Fdoi\u002F10.1515\u002Fcrll.2000.064\u002Fhtml",{"doi":1024},"10.1515\u002Fcrll.2000.064",{"id":18,"text":1026,"url":18,"identifiers":1027},"Russo, 2003, Tangents and secants of algebraic varieties: notes of a course",{},{"id":559,"text":1029,"url":561,"identifiers":1030},"Russo, 2019, Projective duality and non-degenerated symplectic Monge-Ampère equations, vol. 117, 1",{"doi":563},{"id":18,"text":1032,"url":1033,"identifiers":1034},"Scorza, 1908, Determinazione delle varietà a tre dimensioni di sr, r≥7, i cui s3 tangenti si intersecano a due a due, Rend. Circ. Mat. Palermo, 31, 193, 10.1007\u002FBF03029123","http:\u002F\u002Fdx.doi.org\u002F10.1007\u002Fbf03029123",{"doi":1035},"10.1007\u002Fbf03029123",{"id":18,"text":1037,"url":18,"identifiers":1038},"Segre, 1907, Su una classe di superfici degli iperspazi legate colle equazioni lineari alle derivate parziali di 2o ordine, Atti R. Accad. Sci. Torino, 42, 559",{},{"id":1040,"text":1041,"url":1042,"identifiers":1043},"28833b7e-f8e8-40ab-a331-e7d9bffa0f06","Severi, 1901, Determinazione delle varietà a tre dimensioni di sr, r≥7, i cui s3 tangenti si intersecano a due a due, Rend. Circ. Mat. Palermo, 15, 33, 10.1007\u002FBF03017734","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF03017734",{"doi":1044},"10.1007\u002FBF03017734",{"id":18,"text":1046,"url":18,"identifiers":1047},"Sturmfels, 2010, Blow-ups of Pn−3 at n points and spinor varieties, J. Commut. Algebra, 2, 223, 10.1216\u002FJCA-2010-2-2-223",{"doi":1048},"10.1216\u002FJCA-2010-2-2-223",{"id":18,"text":1050,"url":1051,"identifiers":1052},"Terracini, 1911, Sulle Vk per cui la varietà degli Sh (h+1)-seganti ha dimensione minore dell'ordinario, Rend. Circ. Mat. Palermo, 31, 392, 10.1007\u002FBF03018812","http:\u002F\u002Fdx.doi.org\u002F10.1007\u002Fbf03018812",{"doi":1053},"10.1007\u002Fbf03018812",{"id":18,"text":1055,"url":18,"identifiers":1056},"Terracini, 1912, Sulle Vk che rappresentano più di k(k−1)2 equazioni di Laplace linearmente indipendenti, Rend. Circ. Mat. Palermo, 33, 176, 10.1007\u002FBF03015297",{"doi":1057},"10.1007\u002FBF03015297",{"id":18,"text":1059,"url":18,"identifiers":1060},"Tevelev, 2005, Projective Duality and Homogeneous Spaces, vol. 133",{},{"id":18,"text":1062,"url":1063,"identifiers":1064},"Togliatti, 1929, Alcuni esempi di superfici algebriche degli iperspazi che rappresentano un'equazione di Laplace, Comment. Math. 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Math. Helv., Vol. 56, 487\nGhys, 1991, Flots transversalement affines et tissus feuilletés, Mem. Soc. Math. France, Vol. 46, 123, 10.24033\u002Fmsmf.358\nGodbillon, 1991, Feuilletages. Etudes géométriques, Progress in Mathematics, Vol. 98\nMolino, 1981\nSullivan, 1983, Manifolds with canonical coordinates charts: some examples, Enseign. Math., Vol. 2, 15\nTischler, 1970, On fibering cerain foliated manifolds, Topology, Vol. 9, 215, 10.1016\u002F0040-9383(70)90037-6\nTsemo, 1999, Automorphismes polynomiaux des variétés affines, C. R. A. 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