JournalsrlmVol. 18, No. 1pp. 39–57

Canonical surfaces in <em><strong>P</strong><sup>4</sup></em> with <em>p<sub>g</sub>=p<sub>a</sub>=5</em> and <em>K<sup>2</sup>=11</em>

  • Christian Böhning

    Universität Hamburg, Germany
Canonical surfaces in <em><strong>P</strong><sup>4</sup></em> with <em>p<sub>g</sub>=p<sub>a</sub>=5</em> and <em>K<sup>2</sup>=11</em> cover
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In \cite{Boh} a structure theorem for Gorenstein algebras in codimension 2 was obtained. In the first part of this article we give a geometric application and prove a structure theorem for good birational canonical projections of regular surfaces of general type with pg=5p_g=5 to P4\mathbb{P}^4 (theorem 1.6). In the second part we show how this can be used to analyze the moduli space of canonical surfaces with q=0q=0, pg=5p_g=5 and K2=11K^2=11 (theorem 2.4).

Cite this article

Christian Böhning, Canonical surfaces in <em><strong>P</strong><sup>4</sup></em> with <em>p<sub>g</sub>=p<sub>a</sub>=5</em> and <em>K<sup>2</sup>=11</em>. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), no. 1, pp. 39–57

DOI 10.4171/RLM/480