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Publications [#384262] of Stefano Filipazzi

Papers Published

  1. Bernasconi, F; Brivio, I; Filipazzi, S, Arithmetic and geometric deformations of threefolds, Bulletin of the London Mathematical Society, vol. 56 no. 1 (January, 2024), pp. 423-443 [doi]
    (last updated on 2026/01/19)

    Abstract:
    We show that mixed-characteristic and equi-characteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic (Formula presented.) are canonical (resp., terminal). We discuss applications to arithmetic and geometric families of 3-dimensional Fano varieties and minimal models with canonical singularities. Our results are contingent upon the existence of log resolutions for fourfolds.

 

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