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Canonical surfaces of higher degree

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 نشر من قبل Fabrizio M. E. Catanese
 تاريخ النشر 2016
  مجال البحث
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 تأليف Fabrizio Catanese




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We consider a family of surfaces of general type $S$ with $K_S$ ample, having $K^2_S = 24, p_g (S) = 6, q(S)=0$. We prove that for these surfaces the canonical system is base point free and yields an embedding $Phi_1 : S rightarrow mathbb{P}^5$. This result answers a question posed by G. and M. Kapustka. We discuss some related open problems, concerning also the case $p_g(S) = 5$, where one requires the canonical map to be birational onto its image.



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