Hi @HenrikWaschke-5013,
The Tomcat (Apache Tomcat) is Java exclusive, so it won't run anything .NET Core based.
To deploy and host the Asp.net core application, you can choose:
- Linux
- Windows
- Azure App Service
Refer this article: Host and deploy ASP.NET Core.
Then, after deploy and host the API application, you can access the API method in another application, such as a Java application.
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Best regards,
Dillion