Results 71 to 80 of about 207 (98)

Symmetry of $f$-vectors of toric arrangements in general position and some applications

, 2023
A toric hyperplane is the preimage of a point $x \in S^1$ of a continuous surjective group homomorphism $\theta: \mathbb{T}^n \to S^1$. A finite hyperplane arrangement is a finite collection of such hyperplanes.
Bergerová, Diana
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Matroids and semirings attached to toric singularity arrangements

Curve singularities are classical objects of study in algebraic geometry. The key player in their combinatorial structure is the {\it value semigroup}, or its compactification, the {\it value semiring}. One natural problem is to explicitly determine the value semirings of distinguished infinite classes of singularities, with a view to understanding ...
Cotterill, Ethan, López, Cristhian Garay   +1 more
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Centering toric arrangements of maximal rank

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Abstract The homotopy type of the complement manifold of a complexified toric arrangement has been investigated by d’Antonio and Delucchi in a paper that shows the minimality of such topological space. In this work we associate to a given toric arrangement a matrix that represents the arrangement over the integers.
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Minimality of toric arrangements

, 2016
We prove that the complement of a toric arrangement has the homotopy type of a minimal CW-complex. As a corollary we deduce that the integer cohomology of these spaces is torsionfree.We apply discrete Morse theory to the toric Salvetti complex, providing
Delucchi, Emanuele, d'Antonio, Giacomo
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Toric partial orders

, 2015
We define toric partial orders, corresponding to regions of graphic toric hyperplane arrangements, just as ordinary partial orders correspond to regions of graphic hyperplane arrangements.
Reiner, Victor, Develin, Mike, Macauley, Matthew   +2 more
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Rational points of fixed denominator in real toric arrangements

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Abstract We give a sufficient condition on a positive integer m for every stratum of a given real toric hyperplane arrangement to contain a rational point of denominator m . As a consequence, we give a sufficient condition on
Andrew Hanlon, Davis Painter
openaire   +2 more sources

Bethe subspaces and wonderful models for toric arrangements

23 ...
Ilin, Aleksei, Rybnikov, Leonid
openaire   +2 more sources

Toric orbifold Chow rings

, 2007
In this thesis we study the orbifold Chow ring of smooth Deligne-Mumford stacks which are related to toric models. We give a new quotient construction of toric Deligne-Mumford stacks defined by Borisov-Chen-Smith such that toric Deligne-Mumford stacks
Jiang, Yunfeng
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Torische Arrangements

, 2012
This thesis addresses some fundamental questions on the topology of toric arrangement complements. We prove two main result which generalize well known results about hyperplane arrangements.
d'Antonio, Giacomo
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Polyhedral Algebras, Arrangements Of Toric Varieties, And Their Groups

, 2001
. We investigate the automorphism groups of graded algebras defined by lattice polyhedral complexes and of the corresponding projective varieties, which form arrangements of projective toric varieties.
Winfried Bruns, Joseph Gubeladze
core