Kaluba, Marek Nowak, Piotr W. Ozawa, Narutaka
Published in
Mathematische Annalen
We give a constructive, computer-assisted proof that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {Aut}}({\mathbb {F}}_5)$$\end{document} Aut ( F 5 ) , the au...
Kourganoff, Mickaël
Published in
Mathematische Annalen
A similarity structure on a connected manifold M is a Riemannian metric on its universal cover M~\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\tilde{M}}$$\end{docum...
Boissière, Samuel Camere, Chiara Sarti, Alessandra
Published in
Mathematische Annalen
We first prove an isomorphism between the moduli space of smooth cubic threefolds and the moduli space of hyperkähler fourfolds of K3[2]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \b...
Dubouloz, Adrien Kishimoto, Takashi
Published in
Mathematische Annalen
An algebraic variety is called A1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {A}^{1}$$\end{document}-cylindrical if it contains an A1\documentclass[12pt]{mi...
Wenger, Stefan
Published in
Mathematische Annalen
We prove that any proper, geodesic metric space whose Dehn function grows asymptotically like the Euclidean one has asymptotic cones which are non-positively curved in the sense of Alexandrov, thus are CAT(0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepac...
Roulleau, Xavier Sarti, Alessandra
Published in
Mathematische Annalen
A Nikulin configuration is the data of 16 disjoint smooth rational curves on a K3 surface. According to a well known result of Nikulin, if a K3 surface contains a Nikulin configuration C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepac...
Tointon, Matthew C. H.
Published in
Mathematische Annalen
We show that a K -approximate subgroup A of a residually nilpotent group G is contained in boundedly many cosets of a finite-by-nilpotent subgroup, the nilpotent factor of which is of bounded step. Combined with an earlier result of the author, this implies that A is contained in boundedly many translates of a coset nilprogression of bounded rank a...
Augat, Meric Helton, J. William Klep, Igor McCullough, Scott
Published in
Mathematische Annalen
Linear matrix inequalities (LMIs) Id+∑j=1gAjxj+∑j=1gAj∗xj∗⪰0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_d + \sum _{j=1}^g A_jx_j + \sum _{j=1}^g A_j^*x_j^* \succe...
Bojković, Velibor Poineau, Jérôme
Published in
Mathematische Annalen
Let k be a complete nontrivially valued non-archimedean field. Given a finite morphism of quasi-smooth k-analytic curves that admit finite triangulations, we provide upper bounds for the number of connected components of the ramification locus in terms of topological invariants of the source curve such as its topological genus, the number of points...
Andersen, Nickolas Duke, William
Published in
Mathematische Annalen
The connection between Markov’s theory of minima of indefinite binary quadratic forms and hyperbolic geodesics is well-known. We introduce some new analogues of the Markov spectrum defined in terms of modular billiards and consider the problem of characterizing that part of the spectrum below the lowest limit point.
