Classification of smooth projective Picard rank 2 varieties with two distinct blow-up structures to projective space along smooth centers of different dimensions, characterizing the quadro-cubic Cremona transformation.
Vats, Correspondence between projective bundles over P ^ 2 and rational hypersurfaces in P ^ 4 , Bulletin des Sciences Mathématiques 195 (2024)
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Varieties with two smooth blow up structures
Classification of smooth projective Picard rank 2 varieties with two distinct blow-up structures to projective space along smooth centers of different dimensions, characterizing the quadro-cubic Cremona transformation.