The note claims a description of A1 for cubic fourfolds in terms of zero-cycles on surfaces and a resulting non-rationality criterion, but the main theorem is unstated and the proof is internally inconsistent.
Cubic fourfolds fibered in sextic del Pezzo surfaces
1 Pith paper cite this work. Polarity classification is still indexing.
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Pith paper citing it
abstract
We exhibit new examples of rational cubic fourfolds, parametrized by a countably infinite union of codimension-two subvarieties in the moduli space. Our examples are fibered in sextic del Pezzo surfaces over the projective plane; they are rational whenever the fibration has a rational section.
fields
math.AG 1years
2019 1verdicts
REJECT 1representative citing papers
citing papers explorer
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A remark on algebraic cycles on cubic fourfolds
The note claims a description of A1 for cubic fourfolds in terms of zero-cycles on surfaces and a resulting non-rationality criterion, but the main theorem is unstated and the proof is internally inconsistent.