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 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.