Planes in cubic fourfolds
Date
2023
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Abstract
We show that the maximal number of planes in a complex smooth cubic fourfold in P5 is 405, realized by the Fermat cubic only; the maximal number of real planes in a real smooth cubic fourfold is 357, realized by the so-called Clebsch–Segre cubic. Altogether, there are but three (up to projective equivalence) cubics with more than 350 planes © 2023,Algebraic Geometry. All Rights Reserved.
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Algebraic Geometry
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European Mathematical Society Publishing House
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