Relative Bogomolov's Inequality in the Arithmetic Case
نویسندگان
چکیده
In this paper, we will consider an arithmetic analogue of relative Bogomolov's inequality in [14]. We also establish arithmetic Riemann-Roch formulae for stable curves over regular arithmetic varieties and generically nite morphisms of arithmetic varieties.
منابع مشابه
Inequalities for Semistable Families of Arithmetic Varieties
In this paper, we will consider a generalization of Bogomolov’s inequality and Cornalba-Harris-Bost’s inequality to the case of semistable families of arithmetic varieties under the idea that geometric semistability implies a certain kind of arithmetic positivity. The first one is an arithmetic analogue of the relative Bogomolov’s inequality in [22]. We also establish the arithmetic Riemann-Roc...
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