Core
From Hackepedia
When a process receives certain signals it will exit and dump core. This is the state of the process when the signal arrived. A debugger such as gdb can be used to examine this corefile. A corefile can be called "core", "program.core" or even be configured to be written to a certain location (in FreeBSD). A program can switch off writing a corefile by setting the resource limit "core file size" (RLIMIT_CORE) to 0.
The kernel also can dump core upon a panic or when instructed to do so. It saves the corefile to swap which is then transferred upon the next boot to /var/crash, it's a good idea to have the /var filesystem big enough to accomodate the size of the physical memory of the system.
Signals that cause a process to dump core
SIGQUIT create core image quit program SIGILL create core image illegal instruction SIGTRAP create core image trace trap SIGABRT create core image abort(3) call (formerly SIGIOT) SIGEMT create core image emulate instruction executed SIGFPE create core image floating-point exception SIGBUS create core image bus error SIGSEGV create core image segmentation violation SIGSYS create core image system call given invalid argument