On the geometry of toric arrangements

Motivated by the counting formulas of integral polytopes, as in Brion and Vergne, and Szenes and Vergne, we start to form the foundations of a theory for toric arrangements, which may be considered as the periodic version of the theory of hyperplane arrangements.

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Bibliographische Detailangaben
Veröffentlicht in:	Transformation groups 2005-12, Vol.10 (3-4), p.387-422
Hauptverfasser:	DE CONCINI, C, PROCESI, C
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic geometry Differential geometry Exact sciences and technology Geometry Group theory Group theory and generalizations Hyperplanes Mathematics Polytopes Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Motivated by the counting formulas of integral polytopes, as in Brion and Vergne, and Szenes and Vergne, we start to form the foundations of a theory for toric arrangements, which may be considered as the periodic version of the theory of hyperplane arrangements.
ISSN:	1083-4362 1531-586X
DOI:	10.1007/s00031-005-0403-3