The Hodge number h¹,1 of irregular algebraic surfaces
classification
🧮 math.AG
keywords
irregularhodgenumbersurfacesalgebraiccomplexgeneralgenus
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We prove a new inequality for the Hodge number h^1,1 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 h^1,1>4q-4.
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