期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021; 23 (7)
In this paper, we study flows of hypersurfaces in hyperbolic space, and apply them to prove geometric inequalities. In the first part of the paper, we......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021; 23 (8)
A vector field X is called a star flow if every periodic orbit of any vector field C-1-close to X is hyperbolic. It is known that the chain recurrence......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021; 23 (5)
The main result of this paper, Theorem 1.4, establishes a conjecture of Lyons and Peres: for a determinantal point process governed by a self-adjoint ......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021; 23 (6)
Kuznetsov's homological projective duality (HPD) theory [K4] is one of the most active and powerful recent developments in the homological study of al......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021; 23 (2)
Our goal in this paper is to present a generalization of the spectral zeta regularization for general Feynman amplitudes on Riemannian manifolds. Our ......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020; 22 (8)
We prove that among all Kollar components obtained by plt blow ups of a klt singularity o is an element of (X, D), there is at most one that is (log-)......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020; 22 (8)
Given a set of lines in a d-dimensional linear space F-d, a joint formed by them is a point lying on d given lines whose directions are linearly indep......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020; 22 (9)
In this paper, we prove abundance for 3-folds with nontrivial Albanese maps, over an algebraically closed field of characteristic p > 5.
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020; 22 (11)
In this paper, we establish stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms on metric measure spaces under a gener......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020; 22 (12)
We prove that any noncompact kappa-noncollapsed steady (gradient) Ricci soliton with non-negative curvature operator must be rotationally symmetric if......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020; 22 (12)
We estimate asymptotically the fourth moment of the Riemann zeta-function twisted by a Dirichlet polynomial of length T1/4-epsilon. Our work relies cr......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019; 21 (3)
We develop estimates for the solutions and derive existence and uniqueness results of various local boundary value problems for Dirac equations that i......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019; 21 (5)
We prove the Dynamical Bogomolov Conjecture for endomorphisms Phi : P-1 x P-1 -> P-1 x P-1, where Phi(x, y) := (f (x), g(y)), for any rational func......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019; 21 (5)
We consider triholomorphic maps u from an almost hyper-Hermitian manifold M-4m into a (simply connected) hyperKahler manifold N-4n . This entails that......
期刊: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019; 21 (6)
In this paper, we prove the local converse conjecture of Jacquet over p-adic fields for GL(n )using Bessel functions.