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A New Family of Surfaces with K^2=7 and p_g=0

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arxiv 1210.4633 v3 pith:2F4VF6N5 submitted 2012-10-17 math.AG

classification math.AG
keywords familysurfacesamplebicanonicalbirationalblochcanonicalconjecture
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We construct a new family of minimal smooth surfaces of general type with K^2=7 and p_g= 0. We show that for a surface in this family, its canonical divisor is ample and its bicanonical morphism is birational. We prove that these surfaces satisfy Bloch's conjecture.

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