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作者:Dean Baskin , Jeremy L. Marzuola
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:In this note we explicitly compute the resonances on hyperbolic cones. These are manifolds diffeomorphic to $\mathbb{R}_{+} \times Y$ and equipped with the singular Riemannian metric $dr^2 + \mathrm{sinh}^2 r h$, where $Y$ is a compact manifold without boundary and h is a Ri...
作者:Kevin Coulembier , Volodymyr Mazorchuk , Xiaoting Zhang
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:We study the problem of indecomposability of translations of simple modules in the principal block of BGG category $\mathcal{O}$ for $\mathfrak{sl}_n$, as conjectured in “Parabolic projective functors in type A” [T. Kildetoft and V. Mazorchuk, Adv. Math. 301 (2016), 785...
作者:Siddhartha Sahi , Genkai Zhang
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:In this paper we answer some questions of G. Shimura on the positivity of certain invariant differential operators that play a key role in the study of nearly holomorphic automorphic forms in higher rank. Our main result expresses the eigenvalues of Shimura operators in term...
作者:Nickolas A. Castro , Burak Ozbagci
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:We develop a technique for gluing relative trisection diagrams of $4$-manifolds with nonempty connected boundary to obtain trisection diagrams for closed $4$-manifolds. As an application, we describe a trisection of any closed $4$-manifold which admits a Lefschetz fibration over ...
作者:Esmail Arasteh Rad , Somayeh Habibi
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:In this article we develop the theory of local models for the moduli stacks of global $\mathfrak{G}$-shtukas, the function field analogs for Shimura varieties. Here $\mathfrak{G}$ is a smooth affine group scheme over a smooth projective curve. As the first approach, we relat...
作者:Morten Lüders
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:Using an idelic argument and assuming the Gersten conjecture for Milnor $K$-theory, we show that the restriction map from the Chow group of one-cycles on a smooth projective scheme over a henselian local ring to a pro-system of thickened zero-cycles is surjective. We relate this ...
作者:Jeremy Daniel , Bertrand Deroin
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:If $E$ is a flat bundle of rank $r$ over a Kähler manifold $X$, we define the Lyapunov spectrum of $E$: a set of $r$ numbers controlling the growth of flat sections of $E$, along Brownian trajectories. We show how to compute these numbers, by using harmonic measures on the f...
作者:Andrei K. Lerner
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:Quantitative weighted estimates are obtained for the Littlewood–Paley square function $S$ associated with a lacunary decomposition of $\mathbb{R}$ and for the Marcinkiewicz multiplier operator. In particular, we find the sharp dependence on $[w]_{A_p}$ for the $L^p (w)$ oper...
作者:Hans Christianson
来源:[J].Mathematical Research Letters(IF 0.6), 2019, Vol.26 (2)波士顿国际出版社
摘要:In this paper we study the behaviour of the Neumann data of Dirichlet eigenfunctions on simplices. We prove that the $L^2$ norm of the (semi-classical) Neumann data on each face is equal to $2/n$ times the $(n-1)$-dimensional volume of the face divided by the volume of the s...

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