Height functions associated with closed subschemes

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Yohsuke Matsuzawa This is my paper · ORCID

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This is an expository note on height functions associated with closed subschemes. This manuscript contains nothing new.

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Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties
math.AG 2025-07 accept novelty 7.0 of 10

For a dominant rational self-map on a projective variety, the height associated with a closed subscheme vanishes relative to an ample height along generic orbits whenever a dynamical degree is strictly smaller than th...