6 papers
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…
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…
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 ca…
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 singularitie…
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…