Planes in cubic fourfolds
Date
2023
Authors
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Source Title
Algebraic Geometry
Print ISSN
23131691
Electronic ISSN
Publisher
European Mathematical Society Publishing House
Volume
10
Issue
2
Pages
228 - 258
Language
en
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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.