References & Citations
Mathematics > Algebraic Geometry
Title: High-pliability Fano hypersurfaces
(Submitted on 31 Dec 2022 (v1), last revised 9 Jan 2023 (this version, v2))
Abstract: We show that five of Reid's Fano 3-fold hyperurfaces containing at least one compound Du Val singularity of type $cA_n$ have pliability at least two. The two elements of the pliability set are the singular hypersurface itself, and another non-isomorphic Fano hypersurface of the same degree, embedded in the same weighted projective space, but with different compound Du Val singularities. The birational map between them is the composition of two birational links initiated by blowing up two Type I centres on a codimension 4 Fano 3-fold of $\mathbb{P}^2 \times \mathbb{P}^2$-type having Picard rank 2.
Submission history
From: Livia Campo [view email][v1] Sat, 31 Dec 2022 08:50:45 GMT (19kb)
[v2] Mon, 9 Jan 2023 00:42:58 GMT (19kb)
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