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JDBI
The Jdbi library provides convenient, idiomatic access to relational databases in Java and other JVM technologies such as Kotlin, Clojure or Scala.
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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
Kotlin is going to be great with almost every single JVM server. Spring works well with Kotlin, and is directly supported, but spring is also massive, very bloated. I recommend looking at https://github.com/ktorio/ktor which continues to serve all of my needs very well, integrates fantastically with Kotlin coroutines, and has very fast startup time and very good performance.
We use JDBI. Very simple and lightweight. It uses an object mapper not a full fledged ORM.