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This is the first of a series of articles providing a foundation for the theory of Drinfeld modular forms of arbitrary rank r. In the present part, we develop the analytic theory. Most of the work goes into defining and studying the…

Number Theory · Mathematics 2018-06-01 Dirk Basson , Florian Breuer , Richard Pink

The one-loop weak-magnetic and weak-electric dipole form factors of heavy fermions in a generic model are derived. Numerical predictions for the $\tau$ lepton and $b$ quark Weak Anomalous Magnetic and Electric Dipole Moments (AWMDM and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Rigolin

The purpose of this note is to prove the existence of global weak solutions to the flow associated to integro-differential harmonic maps into spheres and Riemannian homogeneous manifolds.

Analysis of PDEs · Mathematics 2016-11-08 Armin Schikorra , Yannick Sire , Changyou Wang

Adopting the omni-Lie algebroid approach to Dirac-Jacobi structures, we propose and investigate a notion of weak dual pairs in Dirac-Jacobi geometry. Their main motivating examples arise from the theory of multiplicative precontact…

Differential Geometry · Mathematics 2021-09-17 Jonas Schnitzer , Alfonso Giuseppe Tortorella

In this paper, we study compact complex orbifolds. In the first part, we shows the equivalence of two notions of compact K\"ahler orbifold. In the second part, we shows various versions of Demailly's regularisation theorems for compact…

Algebraic Geometry · Mathematics 2023-02-24 Xiaojun Wu

A survey of some results and open questions related to the following algebraic invariants of compact complex manifolds, that can be obtained from differential forms: cohomology groups, Chern classes, rational homotopy groups, and higher…

Algebraic Topology · Mathematics 2025-03-11 Jonas Stelzig

To study a noncompact Riemannian manifold, it is often useful to find a compactification. We discuss several common compactifications and survey some recent results.

Differential Geometry · Mathematics 2010-12-15 Xiaodong Wang

We give a complete combinatorial characterization of weakly $d$-Tverberg complexes. These complexes record which intersection combinatorics of convex hulls necessarily arise in any sufficiently large general position point set in $\mathbb…

Combinatorics · Mathematics 2023-10-18 Florian Frick , R. Amzi Jeffs

This paper deals with the interplay of the geometry of the norm and the weak topology in Banach spaces. Both dual and intrinsic connections between weak forms of rotundity and smoothness ared discussed. Weakly exposed points, weakly locally…

Functional Analysis · Mathematics 2007-06-25 J. Talponen

There is a well developed theory of weakly symmetric Riemannian manifolds. Here it is shown that several results in the Riemannian case are also valid for weakly symmetric pseudo-Riemannian manifolds, but some require additional hypotheses.…

Differential Geometry · Mathematics 2011-07-26 Zhiqi Chen , Joseph A. Wolf

In this short note, we propose an unified method to derive formulas for derivations conjugated by exponential functions on an almost complex manifold. In v3, we corrected some mistakes in previous versions.

Differential Geometry · Mathematics 2019-04-02 Wei Xia

We give a summary of the discussions in Working Group V of the CKM2010 workshop dealing with determinations of the angle gamma of the unitarity triangle of the Cabibbo-Kobayashi-Maskawa matrix from B-meson decays into charmed final states.

High Energy Physics - Phenomenology · Physics 2011-04-21 Robert Fleischer , Stefania Ricciardi

We provide a finite basis for the (in)equational theory of the process algebra BCCS modulo the weak failures preorder and equivalence. We also give positive and negative results regarding the axiomatizability of BCCS modulo weak impossible…

Logic in Computer Science · Computer Science 2008-10-28 Taolue Chen , Wan Fokkink , Rob van Glabbeek

For any bounded, smooth domain $\Omega\subset \R^2$, %(or $\Omega=\R^2$), we will establish the weak compactness property of solutions to the simplified Ericksen-Leslie system for both uniaxial and biaxial nematics, and the convergence of…

Analysis of PDEs · Mathematics 2020-06-09 Hengrong Du , Tao Huang , Changyou Wang

We give some characterizations of disjointly weakly compact sets in Banach lattices, namely, those sets in whose solid hulls every disjoint sequence converges weakly to zero. As an application, we prove that a bounded linear operator from a…

Functional Analysis · Mathematics 2023-04-27 Bo Xiang , Jin Xi Chen , Lei Li

Let $M$ be G-graded R-module. The idea of a graded weakly primal submodule of $M$, which is a generalization of a graded primal submodule, is introduced and discussed in this paper. Some characteristics and characterizations are assigned to…

General Mathematics · Mathematics 2022-06-15 Tamem Al-shorman , Malik Bataineh

We discuss the maximum modulus principle, and weak unique continuation, for CR functions on an abstract almost CR manifold M. We investigate these matters under the assumption of weak pseudoconcavity, and obtain sharp results about…

Complex Variables · Mathematics 2007-11-13 C. Denson Hill , Mauro Nacinovich

We present a relatively simple description of binary, definable subsets of models of weakly quasi-o-minimal theories. In particular, we closely describe definable linear orders and prove a weak version of the monotonicity theorem. We also…

Logic · Mathematics 2021-06-01 Slavko Moconja , Predrag Tanović

Classically, there are two model category structures on coalgebras in the category of chain complexes over a field. In one, the weak equivalences are maps which induce an isomorphism on homology. In the other, the weak equivalences are maps…

Algebraic Topology · Mathematics 2015-05-26 Gabriel C. Drummond-Cole , Joseph Hirsh

A weakly distance-regular digraph is $P$-polynomial if its attached scheme is $P$-polynomial. In this paper, we characterize all $P$-polynomial weakly distance-regular digraphs.

Combinatorics · Mathematics 2023-06-28 Qing Zeng , Yuefeng Yang , Kaishun Wang