17 citations · 41 across the 5 of their papers we have counts for
8 papers
Relative semiampleness in mixed characteristic
Jakub Witaszek
We show that a nef line bundle on a proper scheme over an excellent base is semiample if and only if it is semiample after restricting to characteristic zero and to positive charac…
Resolution and alteration with ample exceptional divisor
János Kollár, Jakub Witaszek
In this short note we explain how to construct resolutions or regular alterations admitting an ample exceptional divisor, assuming the existence of projective resolutions or regula…
Global Frobenius Liftability II: Surfaces and Fano Threefolds
Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
In this article, a sequel to "Global Frobenius Liftability I" (math:1708:03777v2), we continue the development of a comprehensive theory of Frobenius liftings modulo . We stud…
Tamely ramified morphisms of curves and Belyi's theorem in positive characteristic
Kiran S. Kedlaya, Daniel Litt, Jakub Witaszek
We show that every smooth projective curve over a finite field k admits a finite tame morphism to the projective line over k. Furthermore, we construct a curve with no such map whe…
The Minimal Model Program for threefolds in characteristic five
Christopher Hacon, Jakub Witaszek
We show the validity of the Minimal Model Program for threefolds in characteristic five.
On the relative Minimal Model Program for threefolds in low characteristics
Christopher Hacon, Jakub Witaszek
We show the validity of the relative dlt MMP over Q-factorial threefolds in all characteristics p>0. As a corollary, we generalise many recent results to low characteristics includ…