Comparing perfect and 2nd Voronoi decompositions: the matroidal locus

DOI10.1007/s00208-011-0774-9zbMath1264.11050arXiv1106.3291OpenAlexW3106506342MaRDI QIDQ695274

Margarida Melo, Filippo Viviani

Publication date: 20 December 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3291

zbMATH Keywords

quadratic formmatroidmoduli of abelian varietiesVoronoitoroidal compactificationTorelli

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Abelian varieties of dimension (> 1) (11G10) Theta functions and curves; Schottky problem (14H42) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (6)

Stable cohomology of the perfect cone toroidal compactification of \(\mathcal{A}_g\) ⋮ Iso edge domains ⋮ On the top-weight rational cohomology of \(\mathcal{A}_g\) ⋮ The zero section of the universal semiabelian variety and the double ramification cycle ⋮ Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić) ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extending the Torelli map to toroidal compactifications of Siegel space
• Compactified Jacobians and Torelli map
• On the tropical Torelli map
• Torelli theorem for stable curves
• Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I
• Perfect forms and the moduli space of abelian varieties
• Compactifying moduli spaces for abelian varieties
• Decomposition of regular matroids
• Toroidal compactification of Siegel spaces
• A new compactification of the Siegel space and degeneration of abelian varieties. I
• Maximal unimodular systems of vectors
• On lattice dicing
• Nonrigidity degrees of root lattices and their duals
• Complete moduli in the presence of semiabelian group action.
• Discriminants, resultants, and multidimensional determinants
• A desingularization problem in the theory of Siegel modular functions
• The irreducibility of the space of curves of a given genus
• On Voronoi reduction of positive definite quadratic forms
• Extended Torelli Map to the Igusa Blowup in Genus 6, 7, and 8
• On the canonical holomorphic map from the Moduli space of stable curves to the Igusa monoidal transform
• Space‐filling zonotopes
• Modular Constructions for Combinatorial Geometries
• Space tiling zonotopes
• Lectures on Polytopes
• Degenerations of cubic threefolds and matroids
• On extensions of the Torelli map
• A class of extreme lattice-coverings ofn–space by spheres
• An example of a non-simplicial \(L\)-type domain
• Non-rigidity degree of a lattice and rigid lattices

This page was built for publication: Comparing perfect and 2nd Voronoi decompositions: the matroidal locus