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MR2336562 (2008g:14029) 14F17 (14C20 14J28)
Knutsen, Andreas Leopold; Lopez, Angelo Felice A sharp vanishing theorem for line bundles on $K3$ or Enriques surfaces. Proc. Amer. Math. Soc. 135 (2007), no. 11, 3495–3498.
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