5 papers
An algebraic approach to the existence of valuative interpolation
Shijie Bao, Qi'an Guan, Zhitong Mi +1
An algebraic approach is presented for the valuative interpolation problem, which recovers and generalizes prior characterizations known in the complex analytic setting by the auth…
The existence of valuative interpolation at a singular point
Shijie Bao, Qi'an Guan, Zhitong Mi +1
The present paper studies the existence of valuative interpolation on the local ring of an irreducible analytic subvariety at singular points. We firstly develop the concepts and m…
The existence of valuative interpolation
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, using key tools including Zhou valuations, Tian functions and a convergence result for relative types, we establish necessary and sufficient conditions for the exi…
Tame maximal weights, relative types and valuations
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, we obtain a class of tame maximal weights (Zhou weights). Using Tian functions (the function of jumping numbers with respect to the exponents of a holomorphic func…
Concavity property of minimal integrals with Lebesgue measurable gain II
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, we present a concavity property of the minimal integrals related to multiplier ideal sheaves with Lebesgue measurable gain on weakly pseudoconvex Kähler m…