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Barth–Nieto quintic : ウィキペディア英語版 | Barth–Nieto quintic In algebraic geometry, the Barth–Nieto quintic is a quintic 3-fold in 4 (or sometimes 5) dimensional projective space studied by that is the Hessian of the Segre cubic. The Barth–Nieto quintic is the closure of the set of points (''x''0:''x''1:''x''2:''x''3:''x''4:''x''5) of P5 satisfying the equations : : The Barth–Nieto quintic is not rational, but has a smooth model that is a Calabi–Yau manifold. ==References==
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