1) I have an interesting book about painters.
I have got an interesting book about painters.
2) I don’t have an interesting book about painters.
I haven’t got an interesting book about painters.
3) Do you have an interesting book about painters?
Have you got an interesting book about painters?
Объяснение: По смыслу не как не различается. С просто глаголом “have” вс глагол “do/does”.