Triparna Sarkar, an Arts faculty student of Jadavpur University, had lodged a complaint with Jadavpur police station yesterday regarding the threat.
She was asked by the police to meet the cyber crime section with a copy of the complaint.
"Cyber crime section officers have taken my complaint. I have submitted screen shots of my Facebook account and links to those groups who have been threatening me since yesterday. Officers said they will take quick action," Sarkar told PTI.
The threats began from Tuesday night when a protest rally of JU students was organised and more threat messages were posted on her Facebook wall the next day, she alleged.
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"I did not join the protest rally to support any kind of secession nor I questioned why Afzal Guru was hanged. I have full trust in the Constitution of my country and I don't know why I am being called anti-national. I want the police to ensure my security," she said.
Asked if she would close her Facebook account, she said she will not as "I have done nothing wrong".
"We have received a complaint from Triparna Sarkar. We are looking into it," a cyber crime section officer said.