Marc Arnaudon,Xue-Mei Li,Benedikt Petko
Marc Arnaudon
We introduce a novel concept of coarse extrinsic curvature for Riemannian submanifolds, inspired by Ollivier's notion of coarse Ricci curvature. This curvature is derived from the Wasserstein 1-distance between probability measures supporte...
Roy Shalev
Roy Shalev
In a recent paper, Cummings, Eisworth and Moore gave a novel construction of minimal non- σ -scattered linear orders of arbitrarily large successor size. It remained open whether it is possible to construct these orders at other cardin...
Charles F Doran,Alan Thompson
Charles F Doran
We introduce a four-term long exact sequence that relates the cohomology of a smooth variety admitting a projective morphism onto a projective base to the cohomology of the open set obtained by removing the preimage of a general linear sect...
Frank Gounelas,Alexis Kouvidakis
Frank Gounelas
For a general cubic fourfold X⊂P5 with Fano variety F, we compute the Hodge numbers of the locus S⊂F of lines of second type and the class of the locus V⊂F of triple lines, using the description of the latter in terms of f...
Naoki Koseki,Genki Ouchi
Naoki Koseki
A perverse schober is a categorification of a perverse sheaf proposed by Kapranov-Schechtman. In this paper, we construct examples of perverse schobers on the Riemann sphere, which categorify the intersection complexes of natural local syst...
New Zealand volume [0.03%]
新西兰卷
Fedor Bogomolov,Ivan Cheltsov,Frédéric Mangolte et al.
Fedor Bogomolov et al.
Monroe Eskew,Yair Hayut
Monroe Eskew
We investigate the possibilities of global versions of Chang's Conjecture that involve singular cardinals. We show some ZFC limitations on such principles and prove relative to large cardinals that Chang's Conjecture can consistently hold b...
Cartan's incomplete classification and an explicit ambient metric of holonomy [Formula: see text] [0.03%]
卡坦不完全分类和明确的包络度量几何学公式:见正文中公式的图片公式:见正文中公式的图片公式:见正文中公式的图片
Travis Willse
Travis Willse
In his 1910 "Five Variables" paper, Cartan solved the equivalence problem for the geometry of (2, 3, 5) distributions and in doing so demonstrated an intimate link between this geometry and the exceptional simple Lie groups of type G 2 . H...
Jim Agler,John E McCarthy
Jim Agler
We characterize functions of d-tuples of bounded operators on a Hilbert space that are uniformly approximable by free polynomials on balanced open sets. ...