What is a court's authority to determine rights over property within its state referred to as?

The authority of a court to determine rights over property within its state is referred to as jurisdiction in rem. This type of jurisdiction focuses on the property itself, rather than the individuals involved. Essentially, it allows a court to exert power over a particular piece of property, thereby resolving disputes or claims related to that property.

When a court has jurisdiction in rem, it can make determinations regarding ownership, rights, or liens associated with the property, effectively deciding how that property should be treated legally. This is vital in cases such as estate disputes, property disputes, and other matters involving title claims or interests.

Other types of jurisdiction, such as personal jurisdiction, relate to a court's authority over individuals rather than property, and subject matter jurisdiction focuses on the types of cases a court can hear. Limited jurisdiction refers to a court's ability to hear only specific types of cases, which does not specifically pertain to property rights. Hence, jurisdiction in rem is the correct terminology for a court's authority concerning property within its geographical area.