Výsledky vyhledávání - "Brivio, Iacopo"

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Superadditivity of anticanonical Iitaka dimension for contractions with F-split fibres

Autor: Benozzo, Marta, Brivio, Iacopo, Chang, Chi-Kang

Given a fibration $f: X \to Y$ with general fibre $X_y$, over a field of positive characteristic, we establish the Iitaka-type inequality $\kappa(X,-K_X) \leq \kappa(X_y,-K_{X_y})+\kappa(Y,-K_Y)$ whenever $X_y$ has good F-singularities.
Comment:

Externí odkaz: http://arxiv.org/abs/2309.16580

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Arithmetic and geometric deformations of 3-folds

Autor: Bernasconi, Fabio, Brivio, Iacopo, Filipazzi, Stefano

Publikováno v: Bull. Lond. Math. Soc. 56 (2024), no. 1, 423-443

We show that mixed-characteristic and equi-characteristic small deformations of 3-dimensional canonical (resp. terminal) singularities with perfect residue field of characteristic $p>5$ are canonical (resp. terminal). We discuss applications to arith

Externí odkaz: http://arxiv.org/abs/2303.06036

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Invariance of plurigenera for some varieties with good minimal models

Autor: Brivio, Iacopo

Nakayama showed that deformation invariance of plurigenera for smooth complex varieties follows from the MMP and Abundance Conjectures. We extend his result to certain families of singular pairs. We also establish asymptotic invariance of plurigenera

Externí odkaz: http://arxiv.org/abs/2207.08107

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Lifting globally $F$-split surfaces to characteristic zero

Autor: Bernasconi, Fabio, Brivio, Iacopo, Kawakami, Tatsuro, Witaszek, Jakub

We prove that every globally $F$-split surface admits an equisingular lifting over the ring of Witt vectors.
Comment: v3: 53 pages, improved proofs and exposition. To appear in Crelle

Externí odkaz: http://arxiv.org/abs/2205.01779

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Abundance theorem for threefolds in mixed characteristic

Autor: Bernasconi, Fabio, Brivio, Iacopo, Stigant, Liam

We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than five. As a consequence, we give a sufficient condition for the asymptotic invariance of plurigenera for certain families of s

Externí odkaz: http://arxiv.org/abs/2111.08970

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Invariance of plurigenera fails in positive and mixed characteristic

Autor: Brivio, Iacopo

We construct smooth families of elliptic surface pairs with terminal singularities over a DVR of positive or mixed characteristic $(X,B)\to \mathrm{Spec}R$, such that $P_m(X_k,B_k)>P_m(X_K,B_K)$ for all sufficiently divisible $m>0$. In particular, th

Externí odkaz: http://arxiv.org/abs/2011.10226

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