Iso Edge Domains

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

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.

Details

OriginalspracheEnglisch
Seiten (von - bis)302-314
Seitenumfang13
FachzeitschriftExpositiones mathematicae : international journal of pure and applied mathematics
Jahrgang40
Ausgabenummer2
PublikationsstatusVeröffentlicht - Juni 2022
Peer-Review-StatusJa

Externe IDs

Scopus 85118335269
WOS 000809967600006
Mendeley fce7e533-321e-3aba-977a-13c526d35997

Schlagworte

ASJC Scopus Sachgebiete

Schlagwörter

  • Toroidal compactification, Iso-edge domains, Conway–Sloane conjecture, Conway-Sloane conjecture

Bibliotheksschlagworte