Add to ORKGIn this article, we obtain a non-uniform version of Hrushovski's generalisation of the Lang-Weil estimates using geometric methods.Comment: Final version. To appear in Advances in Mathematic
We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for a real reductive group....
Let $K$ be a discrete valuation field with perfect residue field, we study the functor from weakly a...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...
We show that if $X\subset\mathbb P^N_k$ is a normal variety of dimension $n\geq 3$ and $H\subset\mat...
The main purpose of this work is to prove the Andr\'e-Oort conjecture in full generality.Comment: Ma...
For the Artin-Schreier curve y q − y = f(x) defined over a finite field Fq of q elements, the celebr...
Given a rational dominant map $\phi: Y \dashrightarrow X$ between two generic hypersurfaces $Y,X \su...
Liouville theory describes the dynamics of surfaces with constant negative curvature and can be used...
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture...
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Koll\'ar in...
We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, bas...
In this note, we give an alternative proof of uniform boundedness of the number of integral points o...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
The main result includes as special cases on the one hand, the Gerstenhaber--Rothaus theorem (1962) ...
We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for a real reductive group....
Let $K$ be a discrete valuation field with perfect residue field, we study the functor from weakly a...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...
We show that if $X\subset\mathbb P^N_k$ is a normal variety of dimension $n\geq 3$ and $H\subset\mat...
The main purpose of this work is to prove the Andr\'e-Oort conjecture in full generality.Comment: Ma...
For the Artin-Schreier curve y q − y = f(x) defined over a finite field Fq of q elements, the celebr...
Given a rational dominant map $\phi: Y \dashrightarrow X$ between two generic hypersurfaces $Y,X \su...
Liouville theory describes the dynamics of surfaces with constant negative curvature and can be used...
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture...
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Koll\'ar in...
We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, bas...
In this note, we give an alternative proof of uniform boundedness of the number of integral points o...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
The main result includes as special cases on the one hand, the Gerstenhaber--Rothaus theorem (1962) ...
We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for a real reductive group....
Let $K$ be a discrete valuation field with perfect residue field, we study the functor from weakly a...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...