A New Family of Surfaces with K²=7 and p_g=0
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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