The Genitive case normally denotes POSSESSION
If you are saying something belongs to someone by using 's or 'of' in English then use the Genitive case.
- 'Anna's chair' --> 'the chair of Anna' --> 'стул Анны'
The Genitive is also commonly used when something or someone is absent. The absent object or person is in the genitive case.
- 'There are no tables' --> 'столов нет'