Emelie Arvidsson

collaborators

4 papers

math.AG2023

On a vanishing theorem for birational morphisms of threefolds in positive and mixed characteristics

Emelie Arvidsson

We prove a relative Kawamata Viehweg vanishing type theorem for birational morphisms. We use this to prove a Grauert Riemenschneider theorem over log canonical threefolds without z…

math.AG2023

Normality of minimal log canonical centers of threefolds in mixed and positive characteristic

Emelie Arvidsson, Quentin Posva

We prove the normality of minimal log canonical centers on threefold pairs which residue fields are perfect of residue characteristics $p \neq = 2, 3$ and $5$ . We also show that the u…

math.AG2023

On the properness of the moduli space of stable surfaces over $Z [1/30]$

Emelie Arvidsson, Fabio Bernasconi, Zsolt Patakfalvi

We show the properness of the moduli stack of stable surfaces over $Z [1/30]$ , assuming the locally-stable reduction conjecture for stable surfaces. This relies on a local…

math.AG2020

On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic

Emelie Arvidsson

We investigate the vanishing of $H^{1} (X, O_{X} (- D))$ for a big and nef $Q$ -Cartier $Z$ -divisor $D$ on a log del Pezzo surface $(X, Δ)$ over an algebraically…

On a vanishing theorem for birational morphisms of threefolds in positive and mixed characteristics

Normality of minimal log canonical centers of threefolds in mixed and positive characteristic

On the properness of the moduli space of stable surfaces over Z[1/30]

On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic

On the properness of the moduli space of stable surfaces over $Z [1/30]$