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Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space

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......

Star flows and multisingular hyperbolicity

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......

Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture

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 ......

Categorical Plucker formula and homological projective duality

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......

Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups

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 ......

Stability of valuations and Kollar components

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-)......

A proof of the Multijoints Conjecture and Carbery's generalization

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......

Abundance for 3-folds with non-trivial Albanese maps in positive characteristic

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.

Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms

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......

Higher dimensional steady Ricci solitons with linear curvature decay

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......

A quadratic divisor problem and moments of the Riemann zeta-function

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......

Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem

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......

JIF:1.78

The Dynamical Manin-Mumford Conjecture and the Dynamical Bogomolov Conjecture for split rational maps

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......

JIF:1.78

Compactness results for triholomorphic maps

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......

JIF:1.78

Bessel functions and local converse conjecture of Jacquet

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.

JIF:1.78

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