Indira Chatterji,Cornelia Druţu
Indira Chatterji
We show that uniform lattices of isometries of products of real hyperbolic spaces act properly discontinuously and cocompactly on a median space. For lattices in products of at least two factors, this is the strongest degree of compatibilit...
A unified Erdős-Pósa theorem for cycles in graphs labelled by multiple abelian groups [0.03%]
图的多abel群标记的统一型Erdos-Posa定理
J Pascal Gollin,Kevin Hendrey,O-Joung Kwon et al.
J Pascal Gollin et al.
In 1965, Erdős and Pósa proved that there is an (approximate) duality between the maximum size of a packing of cycles and the minimum size of a vertex set hitting all cycles. Such a duality does not hold for odd cycles, and Dejter and Neu...
James Belk,Bradley Forrest
James Belk
We develop a theory of quasisymmetries for finitely ramified fractals, with applications to finitely ramified Julia sets. We prove that certain finitely ramified fractals admit a naturally defined class of "undistorted metrics" that are all...
Dan Ciubotaru,Ju-Lee Kim
Dan Ciubotaru
For an irreducible smooth representation of a connected reductive p-adic group, two important associated invariants are the wavefront set and the (partly conjectural) Langlands parameter. While a wavefront set consists of p-adic nilpotent o...
Yu Min
Yu Min
We construct a derived stack X of Laurent F-crystals on , where O K is the ring of integers of a finite extension K of Q p . We first show that its underlying classical stack cl X coincides with the Emerton-Gee stack X EG , i.e. the ...
Tobias Beran,John Harvey,Lewis Napper et al.
Tobias Beran et al.
In the synthetic geometric setting introduced by Kunzinger and Sämann, we present an analogue of Toponogov's Globalisation Theorem which applies to Lorentzian length spaces with lower (timelike) curvature bounds. Our approach utilises a "c...
[Formula: see text] regularity in semilinear free boundary problems [0.03%]
半线性自由边界问题中的[Formula: see text]正则性
Daniel Restrepo,Xavier Ros-Oton
Daniel Restrepo
We study the higher regularity of solutions and free boundaries in the Alt-Phillips problem Δ u = u γ - 1 , with γ ∈ ( 0 , 1 ) . Our main results imply that, once free boundaries are C 1 , α , then they are ...
Evolution problems with perturbed 1-Laplacian type operators on random walk spaces [0.03%]
带扰动的1-Laplacian型算子在随机游走空间上的演化问题
W Górny,J M Mazón,J Toledo
W Górny
Random walk spaces are a general framework for the study of PDEs. They include as particular cases locally finite weighted connected graphs and nonlocal settings involving symmetric integrable kernels on R N . We are interested in the stu...
Xiaojun Huang,Weixia Zhu
Xiaojun Huang
We study holomorphic maps F from a smooth Levi non-degenerate real hypersurface M ℓ ⊂ C n into a hyperquadric H ℓ ' N with signatures ℓ ≤ ( n - 1 ) / 2 and ℓ ' ≤ ( N - 1 ) / 2 , respectively...
Splitting unramified Brauer classes by abelian torsors and the period-index problem [0.03%]
通过阿贝尔挠曲分割未 ramified Brauer 类以及周期指数问题
Daniel Huybrechts,Dominique Mattei
Daniel Huybrechts
We use twisted relative Picard varieties to split Brauer classes on projective varieties over algebraically closed fields by torsors for a fixed abelian scheme independent of the Brauer class. The construction is also used to prove that the...