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On surfaces with p g =2, q=1 and K 2=5

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Abstract

We consider minimal surfaces of general type with p g =2, q=1 and K 2=5. We provide a stratification of the corresponding moduli space \(\mathcal{M}\) and we give some bounds for the number and the dimensions of its irreducible components.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università della Calabria, Cubo 30B, 87036, Arcavacata di Rende, Cosenza, Italy

    Tommaso Gentile, Paolo A. Oliverio & Francesco Polizzi

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  1. Tommaso Gentile
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  2. Paolo A. Oliverio
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  3. Francesco Polizzi
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Correspondence to Francesco Polizzi.

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Gentile, T., Oliverio, P.A. & Polizzi, F. On surfaces with p g =2, q=1 and K 2=5. Rend. Circ. Mat. Palermo 61, 19–46 (2012). https://doi.org/10.1007/s12215-011-0071-1

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  • DOI: https://doi.org/10.1007/s12215-011-0071-1

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