期刊： AMERICAN JOURNAL OF MATHEMATICS, 2021; 143 (3)
In this paper we study the class of compact Kahler manifolds with Ric(perpendicular to) > 0. First we illustrate examples of Kahler manifolds with ......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2021; 143 (3)
We show that the log canonical threshold polytopes of varieties with log canonical singularities satisfy the ascending chain condition.
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2021; 143 (3)
We develop a new abstract derivation of the observability inequalities at two points in time for Schrodinger type equations. Our approach consists of ......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2021; 143 (4)
We study infinite time blow-up phenomenon for the half-harmonic map flow {0, 1) {u(t) = -(-Delta)(1/2)u+(1/2 pi integral(R)vertical bar u(x) - u(s)(2)......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2021; 143 (1)
We prove some weighted Fourier restriction estimates using polynomial partitioning and refined Strichartz estimates. As application we obtain improved......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2020; 142 (2)
A CY bundle on a connected compact complex manifold X was a crucial ingredient in constructing differential systems for period integrals in an earlier......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2020; 142 (6)
Let p be a prime. K a finite extension of Q(p), and let G(K) be the absolute Galois group of K. The category of Stale (phi, tau)-modules is equivalent......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2020; 142 (4)
In this paper, we prove that there are no solutions for the curvature equation Delta u + e(u) = 8 pi n delta(0) on E-tau, n is an element of N, where ......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2020; 142 (5)
We give a simple sufficient condition for a Verdier quotient T/S of a triangulated category T by a thick subcategory S to be realized inside of T as a......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2020; 142 (5)
In this paper we consider the defocusing energy critical wave equation with a trapping potential in dimension 3. We prove that the set of initial data......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2019; 141 (6)
Though there has been extensive study on Hardy-Sobolev-Maz'ya inequalities on upper half spaces for first order derivatives, whether an analogous ineq......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2019; 141 (6)
We adapt to an infinite dimensional ambient space E. R. Reifenberg's epiperimetric inequality and a quantitative version of D. Preiss' second moments ......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2019; 141 (3)
Suppose that f is a projective birational morphism with at most one-dimensional fibres between d-dimensional varieties X and Y, satisfying Rf(*)O(X) =......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2019; 141 (5)
In this article, we study the sum of additively twisted Fourier coefficients of an irreducible cuspidal automorphic representation of GL(2) or GL(3) o......
期刊： AMERICAN JOURNAL OF MATHEMATICS, 2019; 141 (5)
The curvature estimates for k curvature equations with general right-hand sides is a long-standing problem. In this paper, we completely solve the pro......
