Norse Mythology, Sort Of

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Across
  1. 3. they fly around on winged horses looking for dead hero souls to take to valhalla
  2. 5. the ship of nails... yeah, that kind of nail
  3. 7. the werewolf who bit remus lupin was named after him
  4. 8. the name of the rainbow bridge guarded by heimdall
  5. 10. the dwarven kingdom
Down
  1. 1. a giant, or the race of giants
  2. 2. the norse name for earth, our world
  3. 4. the spit-dude whose blood was fermented into mead
  4. 6. home of the light elves
  5. 9. loki's devoted? red-eyed wife