期刊： ADVANCES IN MATHEMATICS, 2021; 389 ()
In 1998, Allouche, Peyriere, Wen and Wen showed that the Hankel determinant Hn of the Thue-Morse sequence over {-1, 1} satisfies Hn/2n-1 1 (mod 2) for......
期刊： ADVANCES IN MATHEMATICS, 2021; 383 ()
Let G be a reductive group over an algebraically closed field and let W be its Weyl group. In a series of papers, Lusztig introduced a map from the se......
期刊： ADVANCES IN MATHEMATICS, 2021; 384 ()
We construct the counter-example for polynomial version of Sarnak's conjecture for minimal systems, which assets that the Mobius function is linearly ......
期刊： ADVANCES IN MATHEMATICS, 2021; 383 ()
A longstanding conjecture on biharmonic submanifolds, proposed by Chen in 1991, is that any biharmonic submanifold in a Euclidean space is minimal. In......
期刊： ADVANCES IN MATHEMATICS, 2021; 385 ()
The Minkowski problem in Gaussian probability space is studied in this paper. In addition to providing an existence result on a Gaussian-volume-normal......
期刊： ADVANCES IN MATHEMATICS, 2021; 384 ()
We prove a conjecture of Voisin that any two distinct points on a very general hypersurface of degree 2n + 2 in Pn+1 are rationally inequivalent. (C) ......
期刊： ADVANCES IN MATHEMATICS, 2021; 385 ()
Woess [30] introduced a curvature notion on the set of edges of a planar graph, called Psi-curvature in our paper, which is stable under the planar du......
期刊： ADVANCES IN MATHEMATICS, 2021; 379 ()
We study the construction of complex minimal smooth surfaces S of general type with p(g)(S) = 0 and K-S(2) = 7. Inoue constructed the first examples o......
期刊： ADVANCES IN MATHEMATICS, 2021; 382 ()
We prove compactification theorems for some complete K & auml;hler manifolds with nonnegative Ricci curvature. Among other things, we prove that a......
期刊： ADVANCES IN MATHEMATICS, 2021; 389 ()
We study the balanced resistance forms on the Julia sets of Misiurewicz-Sierpinski maps, which are self-similar resistance forms with equal weights. I......
期刊： ADVANCES IN MATHEMATICS, 2021; 388 ()
A cone spherical metric is called irreducible if any developing map of the metric does not have monodromy in U(1). By using the theory of indigenous b......
期刊： ADVANCES IN MATHEMATICS, 2021; 388 ()
Fano orbifold lines are classified by the Dynkin diagrams of type A, D, and E. It is known that the corresponding total descendant potential is a tau-......
期刊： ADVANCES IN MATHEMATICS, 2021; 383 ()
In this paper, we present an explicit cyclic minimal A(infinity) model for the category of matrix factorizations MF(W) of an isolated hypersurface sin......
期刊： ADVANCES IN MATHEMATICS, 2021; 383 ()
Let A be an arbitrary hereditary abelian category that may not have enough projective objects. For example, A can be the category of finite-dimensiona......
期刊： ADVANCES IN MATHEMATICS, 2021; 384 ()
We introduce a class of inverse semigroups built from directed graphs that we refer to as Leavitt inverse semigroups. These semigroups are closely rel......
