期刊: MATHEMATICAL RESEARCH LETTERS, 2021; 28 (1)
Ergodic optimization and discrete weak KAM theory are two parallel theories with several results in common. For instance, the Mather set is the locus ......
期刊: MATHEMATICAL RESEARCH LETTERS, 2021; 28 (3)
We prove Burns-Krantz type boundary rigidity theorems for holomorphic self-maps of some fibered domains.
期刊: MATHEMATICAL RESEARCH LETTERS, 2021; 28 (3)
For a smooth finite cyclic covering over a projective space of dimension greater than one, we show that its group of automorphisms faithfully acts on ......
期刊: MATHEMATICAL RESEARCH LETTERS, 2021; 28 (1)
We study the miniversal deformations of minimally elliptic two-dimensional singularities of multiplicities of 5, 6 and 7. By restricting the miniversa......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (2)
Let X be a smooth projective curve of genus g >= 2 over an algebraically closed field k of characteristic p > 0, M-X(s) (r, d) the moduli space ......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (2)
We show Fujita's spectrum conjecture for epsilon-log canonical pairs and Fujita's log spectrum conjecture for log canonical pairs. Then, we generalize......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (2)
We study the stability theory of solitary wave solutions for the generalized derivative nonlinear Schrodinger equation i partial derivative(t)u + part......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (1)
In this paper, we derive some rigidity results for minimal cones under some weak stability conditions both in codimension 1 and higher codimension.
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (1)
We establish a three-parameter Schur duality between the affine Hecke algebra of type C and a coideal subalgebra of quantum affine sl(n). At the equal......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (3)
This paper studies a class of Abelian varieties that are of GL(2)-type and with isogenous classes defined over a number field k. We treat the cases wh......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (3)
Given a constant mean curvature surface that bounds a compact manifold with nonnegative scalar curvature, we obtain intrinsic conditions on the surfac......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (3)
We give new lower bounds for L-p estimates of the Schrodinger maximal function by generalizing an example of Bourgain.
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (3)
In this paper, we develop the theory of Perelman's W-functional on manifolds with isolated conical singularities. In particular, we show that the infi......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (4)
On a compact Kahler manifold with semi-ample canonical line bundle and Kodaira dimension one, we observe a relation between the infinite-time singular......
期刊: MATHEMATICAL RESEARCH LETTERS, 2020; 27 (4)
In this paper, we prove some differentiable sphere theorems and topological sphere theorems for submanifolds in Kahler manifold, especially in complex......