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On the existence of certain weak Fano threefolds of Picard number two

Maxim Arap, Joseph Cutrone, Nicholas Marshburn


This article settles the question of existence of smooth weak Fano threefolds of Picard number two with small anti-canonical map and previously classified numerical invariants obtained by blowing up certain curves on smooth Fano threefolds of Picard number $1$ with the exception of $12$ numerical cases.

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