Results 81 to 90 of about 207 (98)

Hyperbolic structures on a toric arrangement complement

, 2015
This thesis studies the geometric structures on toric arrangement complements. Inspired by the special hypergeometric functions associated with a root system, we consider a family of connections on a total space which is the product of the complement of a toric arrangement (=finite union of hypertori) and $\mathbb{C}^{\times}$.
openaire   +2 more sources

Computational Aspects of Line and Toric Arrangements

, 2018
In the first part of this thesis we deal with the theory of hyperplane arrangements, that are (finite) collections of hyperplanes in a (finite-dimensional) vector space.
PAPINI, OSCAR
core  

Toric arrangements and Bloch-Kato pro-$p$ groups

We prove a purely combinatorial obstruction for the Bloch-Kato property within the class of fundamental groups of complement manifolds of toric arrangements (i.e., arrangements of hypersurfaces in the complex torus). As a stepping stone we obtain a combinatorial obstruction for the cohomology of a supersolvable arrangement to be generated in degree 1 ...
Delucchi, Emanuele, Marmo, Ettore
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Polyhedral Algebras, Arrangements of Toric Varieties, and their Groups

Advanced Studies in Pure Mathematics, 2018
Bruns, Winfried, Gubeladze, Joseph
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An isomorphism between models of graphic arrangements

This paper presents a bridge between the theories of wonderful models associated with toric arrangements and wonderful models associated with hyperplane arrangements. In a previous work, the same authors noticed that the model of the toric arrangement of
Gaiffi, Giovanni, Siconolfi, Viola, Papini, Oscar   +2 more
core  

Supersolvable posets and fiber-type arrangements

We develop a theory of modularity and supersolvability for chain-finite geometric posets, extending that of Stanley for finite lattices and building a new connection between combinatorics and topology.
Delucchi, Emanuele, Bibby, Christin
core  

Supersolvable posets and fiber-type abelian arrangements

We present a combinatorial analysis of fiber bundles of generalized configuration spaces on connected abelian Lie groups. These bundles are akin to those of Fadell-Neuwirth for configuration spaces, and their existence is detected by a combinatorial ...
Delucchi, Emanuele, Bibby, Christin
core  

Combinatorial generators for the cohomology of toric arrangements

Topology and Its Applications
We give a new combinatorial description of the cohomology ring structure of $H^*(M(\mathcal{A});\mathbb{Z})$ of the complement $M(\mathcal{A})$ of a real complexified toric arrangement $\mathcal{A}$ in $(\mathbb{C}^*)^d$. In particular, we correct an error in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., 2017.
Emanuele Delucchi, Filippo Callegaro
exaly   +5 more sources

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Cohomology of Toric Arrangements

2010
In this chapter we compute the cohomology, with complex coefficients, of the complement of a toric arrangement. A different approach is due to Looijenga [74].
Corrado De Concini, Claudio Procesi
openaire   +1 more source

Toric Arrangements

2010
Corrado De Concini, Claudio Procesi
openaire   +1 more source