Canonical Heights on Hyper-Kähler Varieties and the Kawaguchi–Silverman Conjecture

DOI10.1093/imrn/rnz067zbMath1484.14026arXiv1802.07388OpenAlexW2963401783WikidataQ122929001 ScholiaQ122929001MaRDI QIDQ3382591

John Lesieutre, Matthew Satriano

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07388

zbMATH Keywords

dynamical degreearithmetic degreecanonical heightsKawaguchi-Silverman conjecturehyperkaehler varieties

Mathematics Subject Classification ID

Rational and birational maps (14E05)

Related Items (9)

Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism ⋮ Higher arithmetic degrees of dominant rational self-maps ⋮ Survey lecture on arithmetic dynamics ⋮ Non-density of points of small arithmetic degrees ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ A note on Kawaguchi–Silverman conjecture ⋮ Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties ⋮ Current trends and open problems in arithmetic dynamics ⋮ Kawaguchi-Silverman conjecture for certain surjective endomorphisms

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