期刊： COMPOSITIO MATHEMATICA, 2021; 157 (9)
The main result of this paper concerns the positivity of the Hodge bundles of abelian varieties over global function fields. As applications, we obtai......
期刊： COMPOSITIO MATHEMATICA, 2021; 157 (6)
Let X be a normal and geometrically integral projective variety over a global field K and let (D) over bar be an adelic R-Cartier divisor on X. We pro......
期刊： COMPOSITIO MATHEMATICA, 2020; 156 (7)
We compute the g = 1, n = 1 B-model Gromov-Witten invariant of an elliptic curve E directly from the derived category D-coh(b) (E). More precisely, we......
期刊： COMPOSITIO MATHEMATICA, 2020; 156 (12)
In this article we establish the arithmetic purity of strong approximation for certain semisimple simply connected linear algebraic groups and their h......
期刊： COMPOSITIO MATHEMATICA, 2020; 156 (2)
For a one-parameter subgroup action on a finite-volume homogeneous space, we consider the set of points admitting divergent-on-average trajectories. W......
期刊： COMPOSITIO MATHEMATICA, 2020; 156 (11)
We improve upon the local bound in the depth aspect for sup-norms of newforms on D-x, where D is an indefinite quaternion division algebra over Q. Our......
期刊： COMPOSITIO MATHEMATICA, 2019; 155 (1)
Let X be a smooth projective manifold with dim(C) X = n. We show that if a line bundle L is (n - 1)-ample, then it is (n - 1)-positive. This is a part......
期刊： COMPOSITIO MATHEMATICA, 2019; 155 (3)
By use of a natural extension map and a power series method, we obtain a local stability theorem for p-Kahler structures with the (p, p + 1)th mild pa......
期刊： COMPOSITIO MATHEMATICA, 2019; 155 (5)
We prove the genus-one restriction of the all-genus Landau-Ginzburg/Calabi-Yau conjecture of Chiodo and Ruan, stated in terms of the geometric quantiz......
期刊： COMPOSITIO MATHEMATICA, 2019; 155 (6)
Geo ff rey Robinson conjectured in 1996 that the p - part of character degrees in a p - block of a fi nite group can be bounded in terms of the center......
期刊： COMPOSITIO MATHEMATICA, 2019; 155 (12)
We show that compatible systems of l-adic sheaves on a scheme of finite type over the ring of integers of a local field are compatible along the bound......
期刊： COMPOSITIO MATHEMATICA, 2019; 155 (11)
We prove the analogue of the Ax-Lindemann-Weierstrass theorem for not necessarily arithmetic lattices of the automorphism group of the complex unit ba......
期刊： COMPOSITIO MATHEMATICA, 2018; 154 (11)
The cardinality of the set of D <= x for which the fundamental solution of the Pell equation t(2) - Du(2) = 1 is less than D1/2+alpha with alpha ep......
期刊： COMPOSITIO MATHEMATICA, 2018; 154 (3)
It is shown in this paper that given any closed oriented hyperbolic 3-manifold, every closed oriented 3-manifold is mapped onto by a finite cover of t......
