Extending hyperelliptic K 3 surfaces , and Godeaux surfaces with torsion Z / 2
نویسنده
چکیده
We study the extension of a hyperelliptic K3 surface to a Fano 6fold. This determines a family of surfaces of general type with pg = 1, K = 2 and hyperelliptic canonical curve, where each surface 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 torsion Z/2.
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تاریخ انتشار 2009