Kawaguchi-Silverman conjecture is proved for all projective surfaces and for rationally connected smooth threefolds with an int-amplified endomorphism.
Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove Kawaguchi-Silverman conjecture (KSC) and Shibata's conjecture on ample canonical heights for endomorphisms on several classes of algebraic varieties including varieties of Fano type and projective toric varieties. We also prove KSC for group endomorphisms of linear algebraic groups. We also propose a possible approach to the conjecture using equivariant MMP.
fields
math.AG 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Kawaguchi-Silverman conjecture for certain surjective endomorphisms
Kawaguchi-Silverman conjecture is proved for all projective surfaces and for rationally connected smooth threefolds with an int-amplified endomorphism.