Generalized rescaling limits of sequences of degree-d rational maps organize into a tree of size bounded by d, with explicit classification and cycle bounds for the quadratic case.
Moduli of hybrid curves II: Tropical and hybrid Laplacians
2 Pith papers cite this work. Polarity classification is still indexing.
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Exact asymptotic rates for small Laplacian eigenvalues on degenerations of compact Kähler manifolds are derived, generalizing Dai-Yoshikawa to higher dimensions via Skoda inequality and auxiliary Monge-Ampère equations.
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Generalized rescaling limits of a sequence of rational maps
Generalized rescaling limits of sequences of degree-d rational maps organize into a tree of size bounded by d, with explicit classification and cycle bounds for the quadratic case.
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Asymptotics of small eigenvalues on degenerations of K\"ahler manifolds
Exact asymptotic rates for small Laplacian eigenvalues on degenerations of compact Kähler manifolds are derived, generalizing Dai-Yoshikawa to higher dimensions via Skoda inequality and auxiliary Monge-Ampère equations.