Piotr Achinger

activity

20102026

most citedWild ramification and K(pi, 1) spaces

19 citations · 56 across the 20 of their papers we have counts for

collaborators

Showing 2017 · math.AGShow all

3 papers · 2 filters

math.AG2017★ 3 cited

Non-liftable Calabi-Yau varieties in characteristic $p \geq 5$

Piotr Achinger, Maciej Zdanowicz

Based on recent work of Totaro, we provide two simple constructions of non-liftable Calabi-Yau varieties in characteristic $p \geq 5$ . Our examples are of dimension $2 p$ and $2 p + 1$ …

math.AG2017

Global Frobenius Liftability I

Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz

We formulate a conjecture characterizing smooth projective varieties in positive characteristic whose Frobenius morphism can be lifted modulo $p^{2}$ - we expect that such varieties,…

math.AG2017★ 19 cited

Wild ramification and K(pi, 1) spaces

Piotr Achinger

We prove that every connected affine scheme of positive characteristic is a K(pi, 1) space for the etale topology. The main ingredient is the special case of the affine space over…

Non-liftable Calabi-Yau varieties in characteristic p≥5

Global Frobenius Liftability I

Wild ramification and K(pi, 1) spaces

Non-liftable Calabi-Yau varieties in characteristic $p \geq 5$