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Maximal singularities on the Fano variety \(V^ 3_ 6\) - MaRDI portal

Maximal singularities on the Fano variety \(V^ 3_ 6\) (Q2277049)

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Maximal singularities on the Fano variety \(V^ 3_ 6\)
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    Maximal singularities on the Fano variety \(V^ 3_ 6\) (English)
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    1989
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    This paper fills in a gap in the proof of the Iskovskikh's theorem describing the group of birational automorphisms of the Fano variety \(V^ 3_ 6\) (i.e. a smooth complete intersection of a quadric and a cubic). To do this, one shows that, in certain conditions (satisfied for general \(V^ 3_ 6)\), there is no infinitely close maximal singularity on \(V^ 3_ 6\).
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    group of birational automorphisms
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    Fano variety
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    maximal singularity
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