Naslov
Iso Edge domains

Autori
Dutour-Sikirić, Mathieu ; Kummer, Mario

Izvornik
Expositiones mathematicae (0723-0869) 40 (2022), 2; 302-314

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Iso Edge domain ; Conway conjecture ; Matroidal locus

Sažetak
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: * We review the existing theory and give a general mass-formula for the iso-edge domains. * We prove that the associated toroidal compactification of the moduli space of principally polarized abelian varieties is projective. * We prove the Conway--Sloane conjecture in dimension 5. * We prove that the quadratic forms for which the conorms are non-negative are exactly the matroidal ones in dimension 5.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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