Singular abelian covers of algebraic surfaces

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Abstract

In this paper we generalise F. Catanese's work on singular (ℤ/2ℤ)2-covers to arbitrary finite abelian covers of algebraic surfaces. We determine the contribution of singularities to the invariants x, K2, q, pg, Pn and the canonical sheaf. We use these computations to construct a surface of general type with birational canonical map φa, pg = 4 and K2 = 31.

Original languageEnglish
Pages (from-to)375-390
Number of pages16
JournalManuscripta Mathematica
Volume112
Issue number3
DOIs
StatePublished - Nov 2003
Externally publishedYes

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