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math.AG2009★ 3 cited
Extending hyperelliptic K3 surfaces, and Godeaux surfaces with torsion Z/2
Stephen Coughlan
We study the extension of a hyperelliptic K3 surface to a Fano 6-fold. This determines a family of surfaces of general type with p_g=1, K^2=2 and hyperelliptic canonical curve, whe…
math.AG2009★ 2 cited
Extending symmetric determinantal quartic surfaces
Stephen Coughlan
We give an explicit construction for the extension of a symmetric determinantal quartic K3 surface to a Fano 6-fold. Remarkably, the moduli of the 6-fold extension are in one-to-on…