期刊： FORUM OF MATHEMATICS SIGMA, 2021; 9 ()
We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hy......
期刊： FORUM OF MATHEMATICS SIGMA, 2021; 9 ()
In this article we establish the effective Shafarevich conjecture for abelian varieties over Q of GL(2)-type. The proof combines Faltings' method with......
期刊： FORUM OF MATHEMATICS SIGMA, 2021; 9 ()
We prove that the energy of any eigenvector of a sum of several independent large Wigner matrices is equally distributed among these matrices with ver......
期刊： FORUM OF MATHEMATICS SIGMA, 2020; 8 ()
Given a group G and a subgroup H, we let O-G(H) denote the lattice of subgroups of G containing H. This article provides a classification of the subgr......
期刊： FORUM OF MATHEMATICS SIGMA, 2020; 8 ()
In this paper, we prove that if a compact Kahler manifold X has a smooth Hermitian metric omega such that (T-X, omega) is uniformly RC-positive, then ......
期刊： FORUM OF MATHEMATICS SIGMA, 2020; 8 ()
We start by recalling the following theorem of Rohrlich [17]. To state it, let denote half of the size of the stabilizer of in and for a meromorphic f......
期刊： FORUM OF MATHEMATICS SIGMA, 2019; 7 ()
We show that, if b is an element of L-1(0, T; L-loc(1) (R)) has a spatial derivative in the John-Nirenberg space BMO(R), then it generates a unique fl......
期刊： FORUM OF MATHEMATICS SIGMA, 2019; 7 ()
We prove a character formula for some closed fine Deligne-Lusztig varieties. We apply it to compute fixed points for fine Deligne-Lusztig varieties ar......
期刊： FORUM OF MATHEMATICS SIGMA, 2019; 7 ()
In this note, we prove the logarithmic -adic comparison theorem for open rigid analytic varieties. We prove that a smooth rigid analytic variety with ......
期刊： FORUM OF MATHEMATICS SIGMA, 2018; 6 ()
The generalized Gauss circle problem concerns the lattice point discrepancy of large spheres. We study the Dirichlet series associated to P-k(n)(2), w......
期刊： FORUM OF MATHEMATICS SIGMA, 2017; 5 ( )
We establish the compactness of the moduli space of noncollapsed Calabi-Yau spaces with mild singularities. Based on this compactness result, we devel......
