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SIGKILL and SIGABRT are two type of signals that are sent to process to terminate it.

SIGKILL is equivalent of "kill -9" and is used to kill zombie processes, processes that are already dead and waiting for their parent processes to reap them.
SIGABRT is equivalent of "kill -6" and is used to terminate/abort running processes.

SIGKILL signal cannot be caught or ignored and the receiving process cannot perform any clean-up upon receiving this signal.
SIGABRT signal can be caught, but it cannot be blocked.

According to the "man kill" SIGABRT also generates a core dump, probably it also adheres to the ulimit rules.

if we use kill process id,it will send SIGKILL command...to that process,if any signal handler is there...then that get caught by signal handler and program/process wont be killed.
kill -9 does not care about any signal handler ..it direct kill program/process.
kill -6 same as kill

intellect@intellect-Inspiron-660s:~$ kill -l
1) SIGHUP 2) SIGINT 3) SIGQUIT 4) SIGILL 5) SIGTRAP
6) SIGABRT 7) SIGBUS 8) SIGFPE 9) SIGKILL 10) SIGUSR1
11) SIGSEGV 12) SIGUSR2 13) SIGPIPE 14) SIGALRM 15) SIGTERM
16) SIGSTKFLT 17) SIGCHLD 18) SIGCONT 19) SIGSTOP 20) SIGTSTP
21) SIGTTIN 22) SIGTTOU 23) SIGURG 24) SIGXCPU 25) SIGXFSZ
26) SIGVTALRM 27) SIGPROF 28) SIGWINCH 29) SIGIO 30) SIGPWR
31) SIGSYS 34) SIGRTMIN 35) SIGRTMIN+1 36) SIGRTMIN+2 37) SIGRTMIN+3
38) SIGRTMIN+4 39) SIGRTMIN+5 40) SIGRTMIN+6 41) SIGRTMIN+7 42) SIGRTMIN+8
43) SIGRTMIN+9 44) SIGRTMIN+10 45) SIGRTMIN+11 46) SIGRTMIN+12 47) SIGRTMIN+13
48) SIGRTMIN+14 49) SIGRTMIN+15 50) SIGRTMAX-14 51) SIGRTMAX-13 52) SIGRTMAX-12
53) SIGRTMAX-11 54) SIGRTMAX-10 55) SIGRTMAX-9 56) SIGRTMAX-8 57) SIGRTMAX-7
58) SIGRTMAX-6 59) SIGRTMAX-5 60) SIGRTMAX-4 61) SIGRTMAX-3 62) SIGRTMAX-2
63) SIGRTMAX-1 64) SIGRTMAX
intellect@intellect-Inspiron-660s:~$