Iso edge domains

Dutour Sikirić, Mathieu; Kummer, Mario (2022) Iso edge domains. Expositiones Mathematicae, 40 (2). pp. 302-314. ISSN 07230869

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Abstract

Iso-edge domains are a variant of the iso-Delaunay decomposition introduced by Voronoi. They were introduced by Baranovskii & Ryshkov in order to solve the covering problem in dimension 5. In this work we revisit this decomposition and prove the following new results: (1) We review the existing theory and give a general mass-formula for the iso-edge domains. (2) We prove that the associated toroidal compactification of the moduli space of principally polarized abelian varieties is projective. (3) We prove the Conway-Sloane conjecture in dimension 5. (4) We prove that the quadratic forms for which the conorms are non-negative are exactly the matroidal ones in dimension 5. (C) 2021 Elsevier GmbH. All rights reserved.

Item Type:	Article
Uncontrolled Keywords:	Iso Edge domain ; Conway conjecture ; Matroidal locus
Subjects:	NATURAL SCIENCES > Mathematics
Divisions:	Division for Marine and Enviromental Research
Depositing User:	Ema Buhin Šaler
Date Deposited:	18 May 2026 12:18
URI:	https://fulir.irb.hr:/id/eprint/11965
DOI:	10.1016/j.exmath.2021.09.004

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