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Majorana algebra for the Hoffman-Singleton graph

期刊: GEOMETRIAE DEDICATA, 2023; 217 (1)

Majorana theory is an axiomatic tool for studying the Monster group M and its subgroups through the 196,884-dimensional Conway-Griess-Norton algebra. ......

Complex hyperbolic orbifolds and hybrid lattices

期刊: GEOMETRIAE DEDICATA, 2023; 217 (2)

A class of complex hyperbolic lattices in PU(2, 1) called the Deligne-Mostow lattices has been reinterpreted by Hirzebruch (see Hirzebruch, in: Arithm......

Ramification locus of projections of smooth hypersurfaces to be Galois rational covers

期刊: GEOMETRIAE DEDICATA, 2023; 217 (4)

Let X be a smooth hypersurface of degree d >= 4 in the projective space Pn+1 for n = 1. We consider the projection pi P : X ---> P-n with center......

A topologically rigid set of quotients of the Davis complex

期刊: GEOMETRIAE DEDICATA, 2023; 217 (5)

A class of topological spaces is topologically rigid if any two spaces with the same fundamental group are also homeomorphic. Topological rigidity, in......

Fuchsian DPW potentials for Lawson surfaces

期刊: GEOMETRIAE DEDICATA, 2023; 217 (6)

The Lawson surface xi(1,g) of genus g is constructed by rotating and reflecting the Plateau solution f(t) with respect to a particular geodesic 4-gon ......

Great circle fibrations and contact structures on odd-dimensional spheres

期刊: GEOMETRIAE DEDICATA, 2023; 217 (6)

It is known that for every smooth great circle fibration of the 3-sphere, the distribution of tangent 2-planes orthogonal to the fibres is a contact s......

Applications of homogeneous fiber bundles to the Schubert varieties

期刊: GEOMETRIAE DEDICATA, 2023; 217 (6)

This article explores the relationship between Schubert varieties and equivariant embeddings, using the framework of homogeneous fiber bundles over fl......

Commensurators of abelian subgroups of biautomatic groups

期刊: GEOMETRIAE DEDICATA, 2023; 217 (2)

We show that the commensurator of any finitely generated abelian subgroup H in a biautomatic group centralises a finite-index subgroup of H. We deduce......

Infinitesimal rigidity for cubulated manifolds

期刊: GEOMETRIAE DEDICATA, 2023; 217 (2)

We prove the infinitesimal rigidity of some geometrically infinite hyperbolic 4-and 5 manifolds. These examples arise as infinite cyclic coverings of ......

On the connected components of the moduli space of equivariant minimal surfaces in CH2

期刊: GEOMETRIAE DEDICATA, 2023; 217 (3)

An equivariant minimal surface in CHn is a minimal map of the Poincare disc into CHn which intertwines two actions of the fundamental group of a close......

Right-angled Coxeter groups with totally disconnected Morse boundaries

期刊: GEOMETRIAE DEDICATA, 2023; 217 (4)

This paper introduces a new class of right-angled Coxeter groups with totally disconnected Morse boundaries. We construct this class recursively by ex......

Triangulations of grassmannians and flag manifolds

期刊: GEOMETRIAE DEDICATA, 2023; 217 (5)

MacPherson (in: Topological methods in modern mathematics: a symposium in Honor of John Milnor's Sixtieth Birthday Stony Brook NY 1991, Perish, Housto......

Backward uniqueness for the inverse mean curvature flow

期刊: GEOMETRIAE DEDICATA, 2023; 217 (2)

In this paper, we prove a backward uniqueness theorem for solutions to the inverse mean curvature flow on a closed manifold. As a consequence, the iso......

On the second homotopy group of the classifying space for commutativity in Lie groups

期刊: GEOMETRIAE DEDICATA, 2023; 217 (3)

In this note we show that the second homotopy group of B(2, G), the classifying space for commutativity for a compact Lie group G, contains a direct s......

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