A new family of surfaces of general type with K-2=7 and p(g)=0

作者:Chen Yifan*
来源:Mathematische Zeitschrift, 2013, 275(3-4): 1275-1286.
DOI:10.1007/s00209-013-1182-5

摘要

We construct a new family of smooth minimal surfaces of general type with K-2 = 7 and p(g) = 0. We show that a surface in this family has ample canonical divisor and birational bicanonical morphism. We also prove that these surfaces satisfy Bloch's conjecture.

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