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Catanese surface : ウィキペディア英語版
Catanese surface
In mathematics, a Catanese surface is one of the surfaces of general type introduced by .
==Construction==
The construction starts with a quintic ''V'' with 20 double points. Let ''W'' be the surface obtained by blowing up the 20 double points. Suppose that ''W'' has a double cover ''X'' branched over the 20 exceptional −2-curves. Let ''Y'' be obtained from ''X'' by blowing down the 20 −1-curves in ''X''. If there is a group of order 5 acting freely on all these surfaces, then the quotient ''Z'' of ''Y'' by this group of order 5 is a Catanese surface. Catanese found a 4-dimensional family of curves constructed like this.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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