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GuanHeng Zhao

Publications and source records attributed to GuanHeng Zhao.

2 recordsLinked to original sources
arXiv2026

A generalized Schmidt's subspace theorem for algebraic points of bounded degree

Schmidt's subspace theorem in terms of Seshadri constants for closed subschemes in subgeneral position has already been richly developed. Building upon this framework, we establish a Schmidt subspace theorem for algebraic points of bounded degree with respect to numerically equivalent ample divisors, attaining the optimal factor known to date and deriving a generalized weighted version. Also, we settle a longstanding open conjecture in this field.

math.NT↗
arXiv2026

On a theorem of Schmidt's subspace theory with moving targets

The Schmidt's subspace theory with moving targets, as a significant branch in this field, has been substantially developed in recent years. We continue the approach of the previous work, construct a weighted version of generalized Schmidt subspace theory with moving targets. As a supplement and sharp extension to the relevant results.

math.NT↗