Results 61 to 70 of about 344 (154)
A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems. [PDF]
J Nonlinear Sci, 2023 Müller S.
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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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Computing the poset of layers of a toric arrangement
, 2017 A toric arrangement is an arrangement of subtori of codimension one in a real or complex torus. The poset of layers is the set of connected components of non-empty intersections of these subtori, partially ordered by reverse inclusion. In this note we present an algorithm that computes this poset in the central case.
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A basis for the cohomology of compact models of toric arrangements
Pure and Applied Mathematics QuarterlyIn 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 suitable toric variety.
Giovanni Gaiffi +2 more
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The Goresky-MacPherson formula for toric arrangements
, 2018 A subspace arrangement is a finite collection of affine subspaces in $\mathbb{R}^n$. One of the main problems associated to arrangements asks up to what extent the topological invariants of the union of these spaces, and of their complement are determined by the combinatorics of their intersection.
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Geometry and combinatorics of toric arrangements
, 2010 A toric arrangement is a finite set of hypersurfaces in a complex torus, each hypersurface being the kernel of a character. In the first chapter we focus on the case of toric arrangements defined by root systems: by describing the action of the Weyl ...
Moci, Luca
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Erratum to "The integer cohomology algebra of toric arrangements"
, 2021 We correct two errors in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., Vol. 313, pp. 746-802, 2017. The main error concerns Theorem 4.2.17. In that theorem's proof, Diagram (8) does not commute in general but only under
Emanuele Delucchi, Filippo Callegaro
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On the M2-Brane Index on Noncommutative Crepant Resolutions. [PDF]
Lett Math Phys, 2022 Cirafici M.
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Arithmetic matroids, Tutte polynomial, and toric arrangements
, 2011 We introduce the notion of an arithmetic matroid, whose main example is given by a list of elements of a finitely generated abelian group. In particular we study the representability of its dual, providing an extension of the Gale duality to this setting.
D'Adderio, Michele, Moci, Luca
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, 2012 The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and geometric group ...
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