How did the Latin alphabet reach Iceland?

The adoption of the Latin alphabet in Iceland was a direct consequence of the country's conversion to Christianity around the year 1000.12

Following the formal adoption of the new faith, missionaries introduced the Latin alphabet to Icelanders. This transition brought the region into the sphere of medieval European culture and provided a system for more sustained literary efforts than the existing runic alphabet, which remained in use primarily for epigraphic purposes like memorial inscriptions and charms.2345

Once the Latin script was introduced, Icelanders began to study in the great schools of Europe, and the alphabet was soon applied to native writings, including the codification of laws and the recording of sagas. The oldest preserved manuscripts in the Latin alphabet from Iceland date to approximately 1150, marking the beginning of a period that would lead to an extraordinary flowering of native literature.132