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arxiv: 1011.5574 · v2 · pith:4MDKARR3new · submitted 2010-11-25 · 🧮 math.AG

Kulikov surfaces form a connected component of the moduli space

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keywords surfaceskulikovcomponentconnectedformmodulispacebicanonical
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We show that the Kulikov surfaces form a connected component of the moduli space of surfaces of general type with p_g=0 and K^2=6. We also give a new description for the surfaces, extending ideas of Inoue. Finally we calculate the bicanonical degree of a Kulikov surface, and prove that they verify the Bloch conjecture.

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