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math.NT2025
Integral Diophantine approximation on varieties
Zhizhong Huang, Florian Wilsch
We study the local behavior of integral points on log pairs near a fixed rational point in the boundary by means of an integral approximation constant. In light of Siegel's theorem…
math.NT2025
Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds
Ulrich Derenthal, Florian Wilsch
Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line b…