Cohomology Rings of Toric Bundles and the Ring of Conditions.

Newton polyhedra Newton–Okounkov bodies Ring of conditions Singular cohomology Spherical varieties Toric bundles Toric varieties

Journal

Arnold mathematical journal
ISSN: 2199-6806
Titre abrégé: Arnold Math J
Pays: Switzerland
ID NLM: 9918863586706676

Informations de publication

Date de publication:
2024
Historique:
received: 23 11 2022
revised: 30 06 2023
accepted: 01 07 2023
medline: 24 7 2024
pubmed: 24 7 2024
entrez: 24 7 2024
Statut: ppublish

Résumé

The celebrated BKK Theorem expresses the number of roots of a system of generic Laurent polynomials in terms of the mixed volume of the corresponding system of Newton polytopes. In Pukhlikov and Khovanskiĭ (Algebra i Analiz 4(4):188-216, 1992), Pukhlikov and the second author noticed that the cohomology ring of smooth projective toric varieties over

Identifiants

pubmed: 39044843
doi: 10.1007/s40598-023-00233-6
pii: 233
pmc: PMC11265003
doi:

Types de publication

Journal Article

Langues

eng

Pagination

171-221

Informations de copyright

© The Author(s) 2023.

Auteurs

Johannes Hofscheier (J)

School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD UK.

Askold Khovanskii (A)

Department of Mathematics, University of Toronto, Toronto, Canada.
Moscow Independent University, Moscow, Russia.

Leonid Monin (L)

Institut de Mathématiques, EPFL, Bâtiment MA, Station 8, 1015 Lausanne, Switzerland.

Classifications MeSH