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...
Georgios Pappas,Rong Zhou
Georgios Pappas
We give a simple and uniform proof of a conjecture of Haines-Richarz characterizing the smooth locus of Schubert varieties in twisted affine Grassmannians. Our method is elementary and avoids any representation theoretic techniques, instead...
Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups [0.03%]
双曲群边界作用的超有限性和Borel渐近维数
Petr Naryshkin,Andrea Vaccaro
Petr Naryshkin
We give a new short proof of the theorem due to Marquis and Sabok, which states that the orbit equivalence relation induced by the action of a finitely generated hyperbolic group on its Gromov boundary is hyperfinite. Our methods permit mor...
Simon Baker,Amlan Banaji
Simon Baker
We prove that the pushforwards of a very general class of fractal measures μ on R d under a large family of non-linear maps F : R d → R exhibit polynomial Fourier decay: there exist C , η > 0 such that | F μ ^ ( ...
Raymond van Bommel,Edgar Costa,Wanlin Li et al.
Raymond van Bommel et al.
Given a prime power q and n ≫ 1 , we prove that every integer in a large subinterval of the Hasse-Weil interval [ ( q - 1 ) 2 n , ( q + 1 ) 2 n ] is # A ( F q ) for some ordinary geometrically simple principally polarized abelian...