The Hodge number h¹,1 of irregular algebraic surfaces

2014/02/25 by Andrea Causin, Causin, Andrea, Margarida Mendes Lopes +3
Mathematics · #14C30 #14J29 #15A30 #32J25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C30 #msc:14J29 #msc:15A30 #msc:32J25

paper · pdf · doi:10.48550/arxiv.1402.6357

arxiv created 2014/02/25 · arxiv updated 2014/02/27

Abstract

We prove a new inequality for the Hodge number h¹,1 of irregular complex smooth projective surfaces of general type without irregular pencils of genus >1. More specifically we show that if the irregularity q satisfies q=2^k+1 then h¹,1>4q-4.

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