Heights of hypersurfaces in toric varieties
From MaRDI portal
Publication:1727417
DOI10.2140/ant.2018.12.2403zbMath1410.14042arXiv1711.00710OpenAlexW2766729134MaRDI QIDQ1727417
Publication date: 20 February 2019
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.00710
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Heights (11G50) Mixed volumes and related topics in convex geometry (52A39) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
Related Items
A new insight on Ronkin functions or currents ⋮ On the Northcott property for special values of \(L\)-functions ⋮ Flexibility of analysis serving computational polynomial algebra or arithmetics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A tropical approach to nonarchimedean Arakelov geometry
- Toroidal embeddings. I
- Diophantine approximation on abelian varieties
- A refinement of the Bernštein-Kušnirenko estimate
- Epigraphical analysis
- The Dirichlet problem for the multidimensional Monge-Ampère equation
- Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope
- Heights of hypersurfaces and Igusa's zeta-functions
- On alternative heights. III
- Tropical varieties for non-archimedean analytic spaces
- Mahler measures and logarithmic equidistribution
- Mahler measures and computations with regulators
- An arithmetic Bernštein-Kušnirenko inequality
- Heights and measures on analytic spaces. A survey of recent results, and some remarks
- Introduction to Toric Varieties. (AM-131)
- Non-archimedean amoebas and tropical varieties
- Local heights of subvarieties over non-archimedean fields
- On Measures of Polynomials in Several Variables: Corrigendum
- Mahler's Measure and Special Values of L-functions
- Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
- Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables
- Arithmetic geometry of toric varieties. Metrics, measures and heights
- HAUTEUR NORMALISÉE DES VARIÉTÉS TORIQUES PROJECTIVES
- Mesures et équidistribution sur les espaces de Berkovich
- Convex Analysis
