Results 31 to 40 of about 56,593 (121)

Hodge theory of abelian covers of algebraic varieties

Forum of Mathematics, Sigma
Motivated by classical Alexander invariants of affine hypersurface complements, we endow certain finite dimensional quotients of the homology of abelian covers of complex algebraic varieties with a canonical and functorial mixed Hodge structure (MHS ...
Eva Elduque, Moisés Herradón Cueto
doaj   +1 more source

Sphere boundaries of hyperbolic groups

, 2016
We show that a one-ended simply connected at infinity hyperbolic group $G$ with enough codimension-1 surface subgroups has $\partial G \cong \mathbb{S}^2$.
Beeker, Benjamin, Lazarovich, Nir
core   +1 more source

On embeddings of CAT(0) cube complexes into products of trees

, 2013
We prove that the contact graph of a 2-dimensional CAT(0) cube complex ${\bf X}$ of maximum degree $\Delta$ can be coloured with at most $\epsilon(\Delta)=M\Delta^{26}$ colours, for a fixed constant $M$.
Abrams, Agol, Ardila, Asplund, Assous, Avann, Ballman, Bandelt, Bandelt, Bandelt, Bandelt, Bandelt, Bandelt, Barthélemy, Barthélemy, Berge, Burling, Charney, Charney, Chatterji, Chepoi, Chepoi, Chudnovsky, de Bruijn, Dress, Eppstein, Farley, Feder, Ghrist, Golumbic, Gromov, Gyárfás, Gyárfás, Hagen, Haglund, Haglund, Imrich, Isbell, Kostochka, Kostochka, Mark F. Hagen, McGuinness, Mulder, Mulder, Niblo, Niblo, Niblo, Nica, Nielsen, Pawlik, Pawlik, Rozoy, Sageev, Sageev, Santocanale, van de Vel, Victor Chepoi, Winskel, Wise   +58 more
core   +3 more sources

Periodic graphs and connectivity of the rational digital hyperplanes

Theoretical Computer Science, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Tangential Structures on Toric Manifolds, and Connected Sums of Polytopes

, 2000
We extend work of Davis and Januszkiewicz by considering {\it omnioriented} toric manifolds, whose canonical codimension-2 submanifolds are independently oriented.
Buchstaber, Victor M., Ray, Nigel
core   +3 more sources

Exposed faces of semidefinitely representable sets

, 2009
A linear matrix inequality (LMI) is a condition stating that a symmetric matrix whose entries are affine linear combinations of variables is positive semidefinite.
Netzer, Tim, Plaumann, Daniel, Schweighofer, Markus   +2 more
core   +1 more source

Moduli space of combinatorially equivalent arrangements of hyperplanes and logarithmic Gauss–Manin connections

Topology and its Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Deletion-restriction in toric arrangements [PDF]

, 2015
Deletion-restriction is a fundamental tool in the theory of hyperplane arrangements. Various important results in this field have been proved using deletion-restriction.
Deshpande, Priyavrat, Sutar, Kavita
core  

About the number of connected components in arrangements of hyperplanes

, 2014
We consider arrangements of n hyperplanes of codimension one in a real projective space of dimension d. Let us denote by F the maximal possible number f of connected components of the complement in the projective space of dimension d to the union of n hyperplanes. We prove that for sufficiently large n and for d>3 almost all integers between n and F
openaire   +2 more sources

Convexity properties and complete hyperbolicity of Lempert's elliptic tubes

, 2010
We prove that elliptic tubes over properly convex domains of the real projective space are C-convex and complete Kobayashi-hyperbolic. We also study a natural construction of complexification of convex real projective manifolds.Comment: 11 ...
Alessandrini, Daniele, Saracco, Alberto
core