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 language | English |
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Pages (from-to) | 375-390 |
Number of pages | 16 |
Journal | Manuscripta Mathematica |
Volume | 112 |
Issue number | 3 |
DOIs | |
State | Published - Nov 2003 |
Externally published | Yes |