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arxiv: 1112.2611 · v4 · pith:H4HLXOO3new · submitted 2011-12-12 · 🧮 math.AG

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

classification 🧮 math.AG
keywords fanonumberpicardthreefoldscertainexistencenumericalsmooth
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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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