Der was this movie in which a girl used to write stories... she was basically psychotic.. she used to kill her lovers with an ice breaking tool

Sounds like Basic Instinct (http://www.imdb.com/title/tt0103772/) to me.

Ps Please use proper English when posting, makes it a lot easier for us to understand you.

"Basic Instinct" is the name of the movie, it stars Sharon Stone. There is also a "Basic Instinct 2" which was released earlier this year and it is now on DVD. That one also stars Sharon Stone.