Results 71 to 80 of about 351,610 (104)

Random walks on the chambers of a hyperplane arrangement

open access: yes, 2018
Presented as part of the Workshop on Algorithms and Randomness on May 15, 2018 at 2:45 p.m. in the Klaus Advanced Computing Building, Room 1116.Evita Nestoridi is an Instructor of Mathematics in the math department of Princeton University. Next year, she
Nestoridi, Evita
core  

Hyperplane arrangement cohomology and monomials in the exterior algebra

open access: yes, 2015
: We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomology of X.
Sorin Popescu   +2 more
core  

Orlik-Solomon algebras and Hyperplane Arrangements [PDF]

open access: yes, 2009
This work fits into the topic of hyperplane arrangements; this is a widely studied subject involving many different areas of mathematics (combinatorics, commutative algebra, topology, group theory, representation theory, etc..).
D'ANTONIO, GIACOMO
core  

Pythagorean Hyperplane Arrangements: Combinatorics of Gain Genericity

open access: yes, 2023
We study Pythagorean hyperplane arrangements, originally defined by Zaslavsky. In this first part of a series on such arrangements, we introduce a new notion of genericity for such arrangements.
Eppolito, Chris
core  

Hyperplane arrangements

open access: yes, 2014
Cette thèse étudie la fibre de Milnor d'un arrangement d'hyperplans complexe central, et l'opérateur de monodromie sur ses groupes de cohomologie. On s'intéresse à la problématique suivante : peut-on déterminer l'opérateur de monodromie, ou au moins les ...
Bailet, Pauline
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The homotopy type of toric arrangements [PDF]

open access: yes
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
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The characteristic quasi-polynomials of hyperplane arrangements over residually finite Dedekind domains [PDF]

open access: yesEnumerative Combinatorics and Applications, 2023
Masamichi Kuroda, Shuhei Tsujie
doaj  

Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements

open access: yes, 2012
In this new version some references are added for Thom-Sebastiani type results for the productof two functions. Note that all the previous results make no claim on the corresponding mixed Hodge structures, which is a key point in our paperInternational ...
Dimca, Alexandru
core   +1 more source

The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented

open access: yes, 2007
We present a theory that produces several examples where the homotopy Lie algebra of a complex hyperplane arrangement is not finitely presented. We also present examples ofhyperplane arrangements where the enveloping algebra of this Lie algebra has an ...
Roos, Jan-Erik,
core  

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