Results 11 to 20 of about 207 (98)
Affine and toric arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We extend the Billera–Ehrenborg–Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements.
Margaret Readdy +5 more
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Combinatorics of toric arrangements [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2019 In this paper we build an Orlik–Solomon model for the canonical gradation of the cohomology algebra with integer coecients of the complement of a toric arrangement.
Pagaria R.
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Affine and toric hyperplane arrangements [PDF]
Discrete & Computational Geometry, 2008 We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements.
Margaret Readdy +5 more
core +3 more sources
A TUTTE POLYNOMIAL FOR TORIC ARRANGEMENTS [PDF]
Transactions of the American Mathematical Society, 2012 We introduce a multiplicity Tutte polynomial M(x, y), with applications to zonotopes and toric arrangements. We prove that M(x, y) satisfies a deletion-restriction recursion and has positive coefficients.
Luca Moci, Moci L
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A basis for the cohomology of compact models of toric arrangements [PDF]
Pure and Applied Mathematics Quarterly, 2023 In this paper we find monomial bases for the integer cohomology rings of compact wonderful models of toric arrangements. In the description of the monomials various combinatorial objects come into play: building sets, nested sets, and the fan of a ...
Gaiffi, Giovanni +5 more
core +6 more sources
The homotopy type of toric arrangements [PDF]
Journal of Pure and Applied Algebra, 2010 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 Rx, with a combinatorial ...
Luca Moci +6 more
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Zonotopes, toric arrangements, and generalized Tutte polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 We introduce a multiplicity Tutte polynomial M(x, y), which generalizes the ordinary one and has applications to zonotopes and toric arrangements. We prove that M(x, y) satisfies a deletion-restriction recurrence and has positive coefficients.
Luca Moci, Moci, Luca, Moci L
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Cohomology and combinatorics of toric arrangements [PDF]
, 2019 This Ph.D. thesis presents my results obtained in the last three years. These results have appeared in the following preprints and articles: [Pag19b, Pag19d, CDD+18, Pag18a, Pag18c, Pag19c, Pag18b, Pag19a, PP19b].
Pagaria, Roberto
core +2 more sources
DELETION-RESTRICTION IN TORIC ARRANGEMENTS
, 2014 Deletion-restriction is a fundamental tool in the theory of hyperplane arrangements. Various important results in this field have been proved using deletion-restriction.
Kavita Sutar, Priyavrat Deshpande
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Orlik-Solomon type presentations for the cohomology algebra of toric arrangements [PDF]
Transactions of the American Mathematical Society, 2020 We give an explicit presentation for the integral cohomology ring of the complement of any arrangement of level sets of characters in a complex torus (alias "toric arrangement'').
Callegaro, Filippo +5 more
core +7 more sources