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Surfaces with $chi=5, K^{2}=9$ and a canonical involution

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 نشر من قبل Zhiming Lin
 تاريخ النشر 2016
  مجال البحث
والبحث باللغة English
 تأليف Zhiming Lin




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In this paper, we classify the minimal surfaces of general type with $chi=5$, $K^{2}=9$ whose canonical map is composed with an involution. We obtain 6 families, whose dimensions in the moduli space are 28, 27, 33, 32, 31 and 32 respectively. Among them, the family of surfaces having a genus 2 fibration forms an irreducible component of $mathfrak{M}_{chi=5, K^{2}=9}$.



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