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The two extremal rays of some Hyper-K\"ahler fourfolds

math.AG · 2025-01-16 · accept · novelty 6.0

For hyper-Kähler fourfolds of K3[2] type with Picard rank two and two divisorial contractions, the pair of conic-bundle types must be one of seven combinations; for Fano varieties of cubic fourfolds, only four combinations occur.

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  • The two extremal rays of some Hyper-K\"ahler fourfolds math.AG · 2025-01-16 · accept · none · ref 8

    For hyper-Kähler fourfolds of K3[2] type with Picard rank two and two divisorial contractions, the pair of conic-bundle types must be one of seven combinations; for Fano varieties of cubic fourfolds, only four combinations occur.