Add to ORKGWe 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, proved by Tanaka, and on the technique of Hacon and Xu to descend semi-ampleness from the normalization. We also present applications to dlt threefold pairs, and to mixed characteristic families of surfaces.Comment: 17 pages. Comments welcome anytime. v2: some proofs in Sections 3.1 and 3.2 have been clarifie
We construct log resolutions of pairs on the blow-up of the projective space in an arbitrary number ...
We prove that the abundance conjecture holds on a variety $X$ with mildsingularities if $X$ has many...
For a smooth projective variety $X$ over a number field $k$ a conjecture of Bloch and Beilinson pred...
We prove the abundance conjecture for projective slc surfaces over arbitraryfields of positive chara...
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue cha...
In this paper, we prove the abundance conjecture for threefolds over an algebraically closed field $...
In this paper, we prove the abundance conjecture for threefolds over an algebraically closed field $...
Motivated by the question of properness of the moduli space of stable surfaces in mixed characterist...
We establish a ramified class field theory for smooth projective curves over local fields. As key st...
We establish a ramified class field theory for smooth projective curves over local fields. As key st...
Much of the work in this dissertation is centered around the generalized abundance conjecture of Laz...
We construct smooth families of elliptic surface pairs with terminal singularities over a DVR of pos...
Over complex numbers, the Fourier-Mukai partners of abelian varieties are well-understood. A celebra...
In this note we prove the semiampleness conjecture for klt Calabi--Yau surface pairs over an excelle...
Let X be a smooth projective geometrically irreducible variety over a perfect field k and D an effec...
We construct log resolutions of pairs on the blow-up of the projective space in an arbitrary number ...
We prove that the abundance conjecture holds on a variety $X$ with mildsingularities if $X$ has many...
For a smooth projective variety $X$ over a number field $k$ a conjecture of Bloch and Beilinson pred...
We prove the abundance conjecture for projective slc surfaces over arbitraryfields of positive chara...
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue cha...
In this paper, we prove the abundance conjecture for threefolds over an algebraically closed field $...
In this paper, we prove the abundance conjecture for threefolds over an algebraically closed field $...
Motivated by the question of properness of the moduli space of stable surfaces in mixed characterist...
We establish a ramified class field theory for smooth projective curves over local fields. As key st...
We establish a ramified class field theory for smooth projective curves over local fields. As key st...
Much of the work in this dissertation is centered around the generalized abundance conjecture of Laz...
We construct smooth families of elliptic surface pairs with terminal singularities over a DVR of pos...
Over complex numbers, the Fourier-Mukai partners of abelian varieties are well-understood. A celebra...
In this note we prove the semiampleness conjecture for klt Calabi--Yau surface pairs over an excelle...
Let X be a smooth projective geometrically irreducible variety over a perfect field k and D an effec...
We construct log resolutions of pairs on the blow-up of the projective space in an arbitrary number ...
We prove that the abundance conjecture holds on a variety $X$ with mildsingularities if $X$ has many...
For a smooth projective variety $X$ over a number field $k$ a conjecture of Bloch and Beilinson pred...