2 citations · 4 across the 11 of their papers we have counts for
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Local stability of Frobenius and Artin--Schreier base-change: a comparison
Quentin Posva
Let be a family of pairs over a smooth curve in positive characteristic . We study the discrepancies of divisors over the base-change along Artin--Sc…
Base-change of locally stable families in positive characteristic
Marta Benozzo, Quentin Posva
We investigate the permanence of local stability for one-parameter families under finite flat base-changes, when the base-field has positive characteristic . Building…
On linear -quotients
Quentin Posva, Linus Rösler, Takehiko Yasuda
We study linear -actions on affine spaces and the associated quotient singularities, using explicit stacky resolutions. We describe when the quotient singularities are log can…
Equisingular lifting of semi-log canonical -split -trivial surfaces
Fabio Bernasconi, Quentin Posva
We show that a projective globally -split semi-log canonical -trivial surface over an algebraically closed field of characteristic admits an equisingular lifting over t…
Pathological MMP singularities as -quotients
Quentin Posva
We construct pathological examples of MMP singularities in every positive characteristic using quotients by -actions. In particular, we obtain non- terminal singularities…
Resolution of -foliations singularities on surfaces and threefolds
Quentin Posva
We consider resolution of singularities for -foliations on varieties of dimension at most three in positive characteristic. We prove that such singularities can be completely re…
On the singularities of quotients by 1-foliations
Quentin Posva
We study the singularities of varieties obtained as infinitesimal quotients by -foliations in positive characteristic. (1) We show that quotients by (log) canonical -foliatio…
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 and . We also show that the u…
Abundance for slc surfaces over arbitrary fields
Quentin Posva
We prove the abundance conjecture for projective slc surfaces over arbitrary fields of positive characteristic. The proof relies on abundance for lc surfaces over abritrary fields,…
Gluing for stable families of surfaces in mixed characteristic
Quentin Posva
We study the normalizations of non-normal stable families of slc surfaces over an excellent DVR. In mixed characteristic, we establish a gluing statement that is relevant for the p…
Gluing theory for slc surfaces and threefolds in positive characteristic
Quentin Posva
We develop a gluing theory in the sense of Kollár for slc surfaces and threefolds in positive characteristic. For surfaces we are able to deal with every positive characteristic $p…
Positivity of the CM line bundle for K-stable log Fanos
Quentin Posva
We prove the bigness of the Chow-Mumford line bundle associated to a -Gorenstein family of log Fano varieties of maximal variation with uniformly K-stable general geome…