http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
EXTENDING HYPERELLIPTIC K3 SURFACES, AND GODEAUX SURFACES WITH π<sub>1</sub> = ℤ/2
Coughlan, Stephen Korean Mathematical Society 2016 대한수학회지 Vol.53 No.4
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 ${\pi}_1={\mathbb{Z}}/2$.
Extending hyperelliptic K3 surfaces, and Godeaux surfaces with $\pi_1=\mathbb{Z}/2$
Stephen Coughlan 대한수학회 2016 대한수학회지 Vol.53 No.4
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 intersection inside a Fano $6$-fold. Finally, we use these hyperelliptic surfaces to determine an $8$-parameter family of Godeaux surfaces with $\pi_1=\ZZ/2$.