The application will have a stack trace, typically in the crash logs. Definitely look there for a bit more detail. Look under ~/Library/Logs/CrashReporter for those details. In general, run the application "Console.app" in your Utilities folder, and click on the button "Show Log List". It gives a detailed view into all the logs available that you'd likely want to check out in your system
If it's code you have written, the debugger (gdb) is the "how" to go to look for more detail. That's typically a "you overreleased" some object if you're working in Objective-C. There's a good set of notes on using the technique "NSZombieEnabled" to find what you're blowing up on.