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Dynamical tropicalisation (Q2679607)

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scientific article; zbMATH DE number 7644328

Language	Label	Description	Also known as
English	Dynamical tropicalisation	scientific article; zbMATH DE number 7644328

Statements

scholarly article

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Dynamical tropicalisation (English)

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The Journal of Geometric Analysis

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publication date

23 January 2023

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full work available at URL

https://arxiv.org/abs/2112.09112

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zbMATH Keywords

equidistribution

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tropicalisation

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tropical currents

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MaRDI profile type

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Convexity of complements of tropical varieties, and approximations of currents

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Global representation of Segre numbers by Monge-Ampère products

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Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)

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The Logarithmic Limit-Set of an Algebraic Variety

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Differentiability of non-archimedean volumes and non-archimedean Monge�Amp�re equations\n (with an appendix by Robert Lazarsfeld)

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A comparison of positivity in complex and tropical toric geometry

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A tropical approach to a generalized Hodge conjecture for positive currents

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Arithmetic positivity on toric varieties

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Equidistribution of small points, rational dynamics, and potential theory

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23\(^{\text{o}}\) colóquio Brasileiro de matemática

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Invariant sets under iteration of rational functions

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A new capacity for plurisubharmonic functions

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Toric pluripotential theory

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Toric varieties

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Courants positifs extremaux et conjecture de Hodge

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PLURIPOTENTIAL THEORY AND COMPLEX DYNAMICS IN HIGHER DIMENSION

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Super-potentials, densities of currents and number of periodic points for holomorphic maps

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Dynamics of polynomial-like mappings

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Equidistribution towards the Green current for holomorphic maps

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Super-potentials of positive closed currents, intersection theory and dynamics

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Equidistribution speed for endomorphisms of projective spaces

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Density of positive closed currents, a theory of non-generic intersections

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Brolin's theorem for curves in two complex dimensions.

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An invariant measure for rational maps

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Oka's inequality for currents and applications

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Multiplication maps and vanishing theorems for toric varieties

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Equations of tropical varieties

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A tropical approach to nonarchimedean Arakelov geometry

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Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné

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A guide to tropicalizations

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Forms and Currents on the Analytification of an Algebraic Variety (After Chambert-Loir and Ducros)

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Geometry in the tropical limit

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Dynamics on Berkovich Spaces in Low Dimensions

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Degenerations of amoebae and Berkovich spaces

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Super currents and tropical geometry

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Decomposition into pairs-of-pants for complex algebraic hypersurfaces

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Enumerative tropical algebraic geometry in ℝ²

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Tropical ideals

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Tropical schemes, tropical cycles, and valuated matroids

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Higher convexity for complements of tropical varieties

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Analytification is the limit of all tropicalizations

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Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope

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Indicators for plurisubharmonic functions of logarithmic growth

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Generic tropical varieties

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Value distribution for sequences of rational mappings and complex dynamics

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Amoebas of maximal area

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Elimination theory for tropical varieties

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Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\)

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Compactifications of subvarieties of tori

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From the sixteenth Hilbert problem to tropical geometry

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S12220-022-01105-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:2679607

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