Surname Alvær (Alvær 
) , around the globe, is a very rare last name. The cognomen Alvær is habitual in Northern Europe, particularly Norway, where it is a rare surname.
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| Alvær | Norway |
| gunnar olsen alvær Norwegian sculptor and stonemason (b. 1868) |
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aud alvær Norwegian politician (b. 1921) |
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| harry alvær Norwegian politician (1882-1963), NO (b. 1882) |
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| richard alvær Norwegian painter, NO (b. 1909) |
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| elsebeth alvær Norwegian author (b. 1919) |
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| frøydis alvær Norwegian writer, NO (b. 1945) |
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| erik steffen alvær (b. 1954) |
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