ON THE PROOF OF CASTELNUOVOS RATIONALITY CRITERION IN POSITIVE CHARACTERISTIC

被引:3
作者
CRAGNOLINI, P [1 ]
OLIVERIO, PA [1 ]
机构
[1] UNIV CALABRIA,DIPARTMENTO MATEMAT,I-87036 RENDE,ITALY
关键词
D O I
10.1016/0022-4049(90)90087-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
One of the final steps in Zariski's proof of Castelnuovo's rationality criterion is to show the existence of 'lines' on a Del Pezzo surface. Here, looking at the anticanonical model, we find the number of exceptional curves of the first kind, and their incidence configuration, on a smooth Del Pezzo surface with K2 = 2 over an algebraically closed field of characteristic 2, using computational techniques.
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页码:297 / 323
页数:27
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