Conte, Alberto; Murre, Jacob P. On a theorem of Morin on the unirationality of the quartic fivefold. (English) Zbl 1041.14505 Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 132, 49-59 (1998). Summary: Following his original idea we give a new and simpler proof of the theorem of U. Morin [see Atti 2. Congr. Un. Mat. Ital., Bologna 1940, 298–302 (1942; Zbl 0026.42401) and Rend. Sem. Mat. Univ. Padova 21, 406–409 (1952; Zbl 0048.14401)] stating that the general quartic hypersurface \(V_m(4)\subset \mathbb{P}^{m+1}\) is unirational for \(m\geq 5\). Cited in 2 ReviewsCited in 1 Document MSC: 14M20 Rational and unirational varieties 14J70 Hypersurfaces and algebraic geometry 14J40 \(n\)-folds (\(n>4\)) Keywords:unirationality of quartic fivefold Citations:Zbl 0026.42401; Zbl 0048.14401 PDFBibTeX XMLCite \textit{A. Conte} and \textit{J. P. Murre}, Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 132, 49--59 (1998; Zbl 1041.14505)