The minimal volume of log surfaces of general type with positive geometric genus

2017/06/12 by Liu, Wenfei · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary: 14J29 #Secondary: 14E30

paper · doi:10.48550/arxiv.1706.03716

Abstract

We determine the minimal possible volume of a projective log canonical surface of general type with prescribed positive geometric genus. As applications, we provide effecitive Noether type inequalities for log canonical threefolds and stable surfaces. Also, we obtain a uniform bound on the order of the symplectic automorphism group Aut_s(S) of smooth projective surfaces S of general type.

Cited by

• On the moduli space of stable surfaces with p_g=1 realizing the minimal volume
• Explicit Effective Birationality for Singular Surfaces

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