ضَاعَ كِتَابِي: My book was lost. كِتَابِي: nominative subject, estimated ḍamma on bāʾ; kitāb is muḍāf, yāʾ is muḍāf ilayh.
وَجَدْتُ كِتَابِي: I found my book. كِتَابِي: accusative object, estimated fatḥa on bāʾ; same iḍāfa.
نَظَرْتُ فِي كِتَابِي: I looked in my book. كِتَابِي: genitive after fī, estimated kasra on bāʾ; same iḍāfa.
The visible kasra is required by the yāʾ. These are supplementary teaching examples.