Article Dans Une Revue Journal of Symbolic Computation Année : 2026

Stratification of projection maps from toric varieties

Résumé

We define a polyhedral version of a stratification for projection maps that applies to any complex or real toric variety and show that it yields similarly desirable properties to the classical map stratification of a proper map. Our results are constructive and give rise to a method for associating the Whitney strata of the projection to the faces of the polytope of the corresponding toric variety. For all the examples we consider, our resulting algorithm outperforms known general purpose methods, e.g., Helmer and Nanda (FoCM, 2022), and Đinh and Jelonek (DCG, 2021), for computing map stratifications.

Fichier principal
Vignette du fichier
1-s2.0-S0747717125001294-main.pdf (751.94 Ko) Télécharger le fichier
Origine Publication financée par une institution
licence

Dates et versions

hal-05440865 , version 1 (06-01-2026)

Licence

Identifiants

Citer

Boulos El Hilany, Martin Helmer, Elias Tsigaridas. Stratification of projection maps from toric varieties. Journal of Symbolic Computation, 2026, 135, pp.102547. ⟨10.1016/j.jsc.2025.102547⟩. ⟨hal-05440865⟩
4784 Consultations
185 Téléchargements

Altmetric

Partager

  • More