Learned Mr. Vasudean has given valuable advice.
It is believed that you wer still under probation, and hence you have tendered your resignation as per terms of appointment letter signed by your appointing authority-the MD.
Local HR manager has issued the reeipt.
Your reporting authority has stated ( verbally it is beleived):
-that he shall not accept the resignation.He is not the authority to do so.
-he wants you to serve one month notice.He is not the authority to do so.
He has probably stated so due to deadlines he is facing, e.g. unfinished tasks, attrition and loss of head countin his team, and he may be looking at one month time to find replacement and get the tasks compeleted thru you.
You may have a haert to heart discussion and explain your exigencies for your decision and offer help to find replacement ( if you can) and to coach other personnel to complete the tasks.
You may submit company property , if anylying with you and ID, visiting cards etc and obtain receipt of the same.
You should maintainthe rapport you have built. World is small. Both of you may come across in your next ventures.
You can write to your MD , about your resignation as per the clause of your appointment letter ,mentioned by you,and enclose the copy of your receipted resignation, and receipt of company property submitted by you,and ask for an acceptance of the same and to pay your wages, and supply you F&F,form 16,PF accumulation report,work experience cetificate,NOC,NDC,relieving letter etc.
