DOI QR코드

DOI QR Code

EXTENDING HYPERELLIPTIC K3 SURFACES, AND GODEAUX SURFACES WITH π1 = ℤ/2

Coughlan, Stephen

  • 투고 : 2015.05.19
  • 발행 : 2016.07.01

초록

We construct the extension of a hyperelliptic K3 surface to a Fano 6-fold with extraordinary properties in moduli. This leads us to a family of surfaces of general type with $p_g=1$, q = 0, $K^2=2$ and hyperelliptic canonical curve, each of which is a weighted complete inter-section inside a Fano 6-fold. Finally, we use these hyperelliptic surfaces to determine an 8-parameter family of Godeaux surfaces with ${\pi}_1={\mathbb{Z}}/2$.

키워드

surfaces of general type;Godeaux surfaces;Fano 6-folds

참고문헌

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea