Short answers, pulled from the story.
Viking swords are also called Carolingian swords because they were manufactured in the Frankish Empire during the Carolingian era, not in Scandinavia. The name "Viking sword" arose because Christian burial customs ended weapon deposits in Francia in the 8th century, leaving Scandinavian pagan graves as the main source of surviving examples.
Under the Lex Ribuaria, the price of a sword with its scabbard was set at seven solidi during the reign of Charlemagne, roughly equivalent to around thirteen hundred US dollars. One sword recorded in the Laxdaela saga was valued at half a crown, equal to sixteen milk-cows.
In 864, King Charles the Bald of West Francia made selling weapons to Vikings punishable by death. Earlier, Chapter 10 of the Capitulare Bononiense of 811 had already made it illegal for any clerical functionary to supply swords or armour to non-Frankish individuals.
Jan Petersen published De Norske Vikingsverd in 1919, devising a hilt classification of 26 types labeled A through Z based on roughly 1,700 sword finds in Norway. The typology remains the most widely used system for classifying and dating Viking swords across Europe.
The Lincoln sword is a 10th-century Viking sword recovered from the River Witham opposite Monks Abbey in Lincoln in 1848. It bears the blade inscription Leutfrit, and the only other known sword with that same inscription was found in Tatarstan, formerly Volga Bulgaria, and is now kept in the Historical Museum of Kazan.
Vikings bent sword blades so they were unusable, a practice sometimes called "killing" a sword, when burying warriors. This may have served a ritualistic purpose tied to the sword's identity with its owner, while also discouraging grave robbers from disturbing burials to retrieve costly weapons.