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A Picard-Type Theorem and a Uniqueness Theorem of Non-Archimedean Analytic Curves in Projective Space
In this article, we prove a Picard-type Theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space ℙ n (
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On the Discrete Criteria and Jørgensen Inequalities for SL(m, F̅((t)))
In this paper, the author gives the discrete criteria and Jørgensen inequalities of subgroups for the special linear group on F̅(( t )) in two and...
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Hahn analytification and connectivity of higher rank tropical varieties
We show that the tropicalization of a connected variety over a higher rank valued field is a path connected topological space. This establishes an...
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Rigid Analytic Uniformization of Curves and the Study of Isogenies
Complex uniformization of curves is a popular tool in Number Theory. There are, however, some arithmetic and computational advantages in the use of p -...
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Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
Using non-Archimedian integration over spaces of arcs of algebraic varieties, we define stringy Euler numbers associated with arbitrary Kawamata...
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