Some loci of rational cubic fourfolds
نویسندگان
چکیده
منابع مشابه
Cubic Fourfolds and Spaces of Rational Curves
For a general nonsingular cubic fourfold X ⊂ P5 and e ≥ 5 an odd integer, we show that the space Me parametrizing rational curves of degree e on X is non-uniruled. For e ≥ 6 an even integer, we prove that the generic fiber dimension of the maximally rationally connected fibration of Me is at most one, i.e. passing through a very general point of Me there is at most one rational curve. For e < 5...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2018
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-018-1707-7